I somewhat suggest not putting the baby's name on a quilt other than on a label. People are cautioned about putting children's names in plain view on backpacks or clothing because of people who prey on kids. This is up to you however. Also, as soon as moms/newborns are dismissed from the hospital, taking the quilts there only adds to the stuff they will be packing up in the dismissal process and they could be misplaced/lost. Taking the quilts later gives you "reason" to visit and get to hold these special little ones. I believe I would either take the unfinished quilts to the shower with explanation of their return for completion or the pictures. Isn't it fun to quilt for new grandbabies? I see more quilts in their future!