Ooops, Wrong direction. The Babylonian captivity was in Babylon, Mesopotamia.
No, I meant at the time of the Babylonian captivity. Sorry for the sentence structure. The Babylonians released Jeremiah in the captivity and told him he could go where he wished. He went to Mizpah where there were a few Judaeans (including the daughters) under a Jewish government that didn't go into captivity. Jeremiah plead with them not to run to Egypt, but they did, fearing the Babylonians. There they all died, except for a remnant. That remnant went to Ireland.