No. No accent but a name that would be identified as staunchly Irish and Catholic.
I assure you, I was hassled and it was made plain - especially at Heathrow - that my Irishness had everything to do with it.
Frankly, this kind of outlook is so outdated that it belongs in the bad old days of 'The Troubles'.
I doubt, very much that you were "hassled" because of your 'Irishness'. However, if that's what you truly believe, enjoy. The war is over.
For the record, I also have Irish Catholic relatives. I have plenty of sympathy for the Irish, I've studied the history. Apologies for getting under your skin but I think you're being a little over-sensitive here. Having lived in Britain during the bombing campaigns of the 1980s I get tired of people thinking that people of Irish ancestry are still singled out for being, somehow, associated with the IRA, by British authorities or the average person on the street. Shopkeepers asking if you were Irish was, simply, a matter of making polite conversation. If you wish to believe otherwise, that's your choice.
The world has moved on. Deal with it.