Hearing people develop accents because of the people they were around when they grew up.
With deaf people, their accents vary.
I don't know exactly what you mean by "Irish accent", but I do know how you feel. I had that happen to me, but not because of my accent... but because of me having a hard time understanding someone else.
A woman asked me something, but I couldn't understand her. When she repeated, I finally understood her. She then asked what country I was from because if I didn't understand her English the first time, then English must not be my primary language and that I must be from another country. :roll: