The puzzle would be one that you purchased (so there would be an image on the front)
But you can write the name on the back....when the puzzle is complete you could use the puzzle saver glue to seal it and then frame it and hang it in the baby's room. As they got older, you could show them the back of the puzzle and they could see the names of all the people that helped bring him/her home
I saw it on an adoption blog, if you go to my blog, you can click where it says "bring jeremiah home" and it will take you to the site...or you can google puzzle fundraiser