I am looking for the Gaeilge translation for the name Brian and Wolcott, if anyone knows the correct translation I would really appreciate it. Thanks.

Brian is Brian (but pronounced differently, something like Breen)

Wolcott is not an Irish Name, so translating it would be tricky
This website http://www.brooklynbirthingcenter.com/babyNames?ID=4973

gives it as a cottage in the woods, which frankly I doubt!

Do you know what the name means? If you do, it ought to be possible to find an Irish equivalent.

I'm guessing, but I think "cottage in the woods" could be right. The Wol part from "Wold" e.g. Stow-in-the-Wold.
Linked to the Geramn word "Wald" (forest) e.g. Schwarzwald (Black Forest).
The Cott part? cottage?