This sort of "naming convention" problem happens all the time, not just with aircraft.
I had a trivial incident a month or so ago whilst routing through Glasgow's airspace - I was being bounced about somewhat handflying inside convective cloud tracking towards the Glasgow airport overhead on GPS and ded-reckoning. I was asked by ATC to give my estimated time for "GOW". It took me the best part of five minutes as a one-handed-paper-hangar to establish that "GOW" was a beacon at the airport (which I had an estimate for and could have given straight away if asked for an estimate for "Glasgow airport").
You just deal with it, it's never life threatening, and you can always ask if the issue is urgent.
G