Society's Child
Criminologist Casey Jordan told CBS News' The Early Show Tuesday that the killer or killers may have a sexual motivation.
Jordan said the police are likely dealing with a "power control killer" or "hedonistic lust killer," because the women were lured through Craigslist.
The new remains are in addition to the remains of a victim found in the area last week, about 45 miles east of New York City. That victim has not been identified, and police have not positively connected those remains to the bodies of four prostitutes found nearby in December.
Police discovered the bodies while searching for 24-year-old Shannan Gilbert, who went missing in May in the area, and are investigating whether any of the newly-discovered remains are hers.
While the children, ages 1 and 3, were locked out near an "extremely high traffic street," White was reportedly sleeping. Police say although Good Samaritans knocked on her door, there was no answer.
According to CBS affiliate WLKY, the children remained outside in the rain for 10-15 minutes before neighbors heard them crying from across the street.
Dany Jones told WLKY that her daughter brought the children home and called the police, then fed and bathed the kids.
"The little girl, she said, 'I want my mommy. I want my mommy,' and I felt so bad," Jones recalls. "Oh, that poor child."
"The wind just kicked up. I mean, it was really, really fast, and I was just peeking through the bedroom window," she said of Monday night's storms. "I could tell it was just gaining momentum like I'd never seen."
Next came the loud crash, then the panic.
"Really scary like, what was gonna happen next?" she said. "Didn't know what to do. I tried to call 911 and couldn't get through. So I thought, well, we've got to contact somebody."

Environmental organization members wear yellow rain gear and carry umbrellas bearing symbols of radioactivity as they launch a campaign for the prevention of pollution from radiation in front of Sejong Cultural Center in Seoul, April 6.
The KMA forecasted Wednesday that due to a low pressure system, 20 to 70mm of rain would fall starting early morning Thursday through Friday nationwide. KINS President Yun Choul-ho held a press conference with KMA spokesman Kim Seung-bae at the Central Government Complex on Sejongno.
"According to the KMA's atmospheric models, there is no possibility that radioactive material released from the Fukushima nuclear plant would spread via the winds from the East China Sea to southwestern South Korea," said Kim. This would mean "radioactive rain" will not fall.
On Monday, however, KINS said during a press conference that its own models showed that minute amounts of radioactive material could spread into Korea's airspace on Thursday. They also showed a screen from their mock test. The KMA, too, also distributed a forecast that due to a high-pressure system over southern Japan, southwesterly air currents would drive rain clouds over the West Sea towards inland Korea on Wednesday or Thursday. Monday's press conference was held after a Norwegian atmospheric research institute released a prediction that radioactivity would spread over Korea around Thursday, and was interpreted as a belated acknowledgement by both the KINS and KMA that "radioactive rain" would fall.
Carter said such teachings by "leaders in Christianity, Islam and other religions" allow men to beat their wives and deny women their fundamental rights as human beings.
The former president made the remarks at a gathering of human rights activists and religious leaders from more than 20 countries at the Carter Center in Atlanta.

Moroccan pole dancer Karima El Mahroug, also known as Ruby, denies that Silvio Berlusconi had sex with her while she was still underage.
Neither Berlusconi nor Moroccan pole dancer Karima El Mahroug, known as Ruby, attended the first hearing of one of Italy's most anticipated courtroom events, which the judge postponed until May 31.
Prosecutors in the case, which touches tangentially on Berlusconi's Mediaset TV empire, accuse the TV-tycoon-turned-politician of paying for sex with Mahroug when she was 17.
The alleged sexual encounters supposedly took place at Berlusconi's villa at Arcore, outside Milan, during sex parties attended by dozens of women, some of whom were aspiring TV starlets, according to local reports.
An elderly Georgian woman was scavenging for copper to sell as scrap when she accidentally sliced through an underground cable and cut off internet services to all of neighbouring Armenia, it emerged on Wednesday.
The woman, 75, had been digging for the metal not far from the capital Tbilisi when her spade damaged the fibre-optic cable on 28 March.
As Georgia provides 90% of Armenia's internet, the woman's unwitting sabotage had catastrophic consequences. Web users in the nation of 3.2 million people were left twiddling their thumbs for up to five hours as the country's main internet providers - ArmenTel, FiberNet Communication and GNC-Alfa - were prevented from supplying their normal service. Television pictures showed reporters at a news agency in the capital Yerevan staring glumly at blank screens.

South Korean students holding umbrellas go home amid fears that the rain may contain radioactive materials from the crippled nuclear reactors in Japan at Midong elementary school in Seoul, South Korea, on Thursday.
Classes were canceled or shortened at more than 150 schools as rain fell across the country.
Authorities said radiation levels in the rain posed no health threat.
However, school boards across the country - Japan's closest neighbor - advised principals to use their discretion in scrapping outdoor activities to address concerns among parents, an education official said.
"We've sent out an official communication today that schools should try to refrain from outdoor activities," the official added.

Parents of children at the school where a gunman killed at least 12 gather outside Thursday in Rio de Janeiro, Brazil.
The dead included nine children between the ages of 12 and 14, the O Globo news website in Rio de Janeiro reported.
The gunman, identified as Wellington Menezes de Oliveira, was a 23-year-old former student at the school.
O Globo reported the gunman was shot by police in the leg and then killed himself with a shot to the head.
Officials told O Globo that 18 children were hospitalized after Thursday's shooting.
The man left a letter explaining his actions, O Globo said, including a reference that he had contracted the AIDS virus. Other details were not immediately available.
Initial reports said the gunman had killed at least 12 people but that was later corrected by officials to 10.
A Swedish couple are glad to be safely home after completing their four-month honeymoon trip - which took in the sights of a blizzard in Munich, a cyclone in Cairns, bushfires in Perth, floods in Queensland, an earthquake in New Zealand and then a nuclear disaster in Japan.
Stefan and Erika Svanstrom set out - along with their baby girl, Elinor - on December 6, following their November wedding, and were immediately stranded in Munich, Germany, due to snow from a so-called "storm of the century".
The 32-year-old bride told The London Times that despite the rocky start, the couple thought "things will get better. We're in love. And just think of the beaches we're heading for in southeast Asia."