No. Its called UFO Baby. I'm not so sure is it has another name though. Its about this guy and girl who ended up living in a temple together and they met an alien baby with powers and stuff. So the show is pretty much about keeping the secret and all this crazy stuff happening. I like to watch it and it has a nice ending too.
When you say alien, do you mean that the baby looks like an alien? Not human being-ish?
Nah. The baby looks like an actual baby except it can float and make other things float. He's blonde and has big purple eyes and he looks nothing like an alien.