Ursula Shannon, Inglewood Crescent, Clonsilla, and three men were charged with possessing two handguns and ammunition at Tullybeg, Rahan, Co Offaly on Tuesday night.
Éirígí general secretary Breandán Mac Cionnaith released a statement confirming "Ursula Ní Shionnain" is a member.
The party would not take steps to distance itself from Ms Shannon, he said.
"However," he added, "I have no doubt that some of the more sensationalist media outlets will try to exploit Ursula's arrest to insinuate all sorts of conspiracy theories and to engage in McCarthy-like 'reds under the beds' hysteria against éirígí. That, of course, will be nothing new."
Comment: There is no way currently of telling if this is an internal kill switch act or the act of an external force within or outside of Syria causing this.
On the balance of probabilities, however, it's probably best to assume that the Western proxy army in Syria is responsible for this move in anticipation of ramping up their attacks against Syrian civilians.
Syrian government working to repair communications, claims Western-backed terrorists responsible for shutting down Internet