Aww, she looks like she could have been a sister to my cat, Ashe, who passed away last winter. He loved "helping" me at the computer. He got the name Ashe because not only was he gray and white, he was the ultimate fraidy cat. Think movie reference here. ::chuckles:: Think Smart, Shop S-mart. HA!
My black and white cat who only blocks my screen when he wants something is named Scarecrow and he thinks he is the King! No, he knows it, however, he does know the Queen Mother is really in charge no matter what he tries. ;) He got named that because we got him in the fall and he was a stray in the street a co-worker's wife almost ran over. Since it turned out they were not cat people, I adopted him. =) The ex wanted to call him scarface due to the white streak on his nose. =P Glad I didn't, once his baby fur was gone and his markings came in full he has more white there. Though I do have some scars from him because he does have attitude. Even our blind 120 pound dog knows to get out of the way of him though the cat has never touched him.
So as you can see I name cats based on looks and personality and somewhat based upon when I adopted them.
I think Patches is one of the good choices. Not sure about it in Irish though. ::chuckles:: I bet even her typing is patchy or gets your character quickly into bad patches. ;)