Babies? as in horses? I would never get a tattoo of something that isnt permanent. hence a horse, boyfriend etc. If its not something that will always be around and permanent I would not get it done. Because that person, or animal will be around forever, there is no guarantee that you will want a picture of it.
Thats just me. What about the tattoo of a horse in general, does it have to be one that you have, or own?