Are any of those domains worth anything??

Let's say for example I own irishcelticgifts.ie and some company in washington called enom.com registers irishcelticgifts.com but I have the name trademarked can I force them to hand over the rights to the domain as they have nothing got to do with Ireland and do not sell celtic gifts....

I tried calling the patents office but they were unsure of my rights in relation to this...

Can anyone enlighten me?