I put my name on everything. I'll do the signature block with name o' quilt, "quilt top and quilted by" me, date, and who it's made for (that one I would ask about).
My grandmother used to make bears and she handed out tons of those things. Since she passed on, I've found 3 bears that "might" have been made by her in thrift stores. 1 we're about 99% sure came from her. 2 are more of a toss up, but they came home with me anyway. If she had written her name on them somewhere, it would be really easy to tell. I want my quilts to be identifiable if in 100 years my great-grandkids find one in a thrift store, I want them to know to bring it home.