The first one's a lovely photo as are your other photos I've seen. I think there's more of that bright space than needed above the child in the second one.
I also can't help but see it from my perspective of a background in education/child development birth to 3. From the position of the baby's foot I'd think most likely he/she is working on trying to stay balanced; that and holding onto something (not having the hands free to catch him/herself if need be) depending on the child's age and current stage this could be challenging the baby's balance.
Which is fine, we work on that with kids but obviously this isn't on gym mats. I think a parent could be upset if their child gets hurt on YOUR photo shoot even if it's just an accident and a bump/bruise. Working with other people's kids I think it's necessary to keep in mind how it puts you in a position of responsibility/liability. I'm sure you keep safety in mind, I'd just probably do this with a child that's a little older. (A guideline I'd often use would be to allow them up on something when they're able to swing their legs around and come down feet first.)
