Weaver I think would fit more into the surname-y trend.
Kennedy,
Reagan,
Sullivan, etc. I've only ever heard it as a surname personally. I have heard of a few Waverly's. They are all female. Weaver I imagine as a masculine name.
I'm not a huge fan of Weaver or
Webster, to be honest, but I prefer the former to the later.
Combos...
Weaver
AdrianWeaver
EmericWeaver
James
I find it difficult to pair up, too.