I take the finished quilt, and I do mean totally finished to the shower if there is one and then take it back home with me. Yup lots of laughs and giggles but immediately after the birth and name are announced I write it on the label and get it to the family. No shower? I have snapped a photo and sent that to them. I prefer the child's name on the quilt, just my preference. I did do the baby and family last name on one so they could have it early but it is less personal and if there are several children, I want each to know there quilt was made for them in mind. I can be pretty laid back most of the time, but I am a fuss about names on labels.
Some good idea posted so options are out there for all to choose from.