Pretty good, could be great.

Fairly extensive list, easy to use, looks good. Easy to share by email, Facebook or twitter. I had no issues with stability while using.

My recommendations - a way to sync with other iDevices (an account?) - maybe voting with that as well so mother & father can help narrow down the list.
Ability to add names at the very least. Maybe to help the developer ability to add origin & descriptions that can be submitted for the developer to then check before adding to the next version?

bdmarsh about Popular Baby Names: top baby boy names + baby girl names, v1.0