Octavia Thurina Minor was the elder sister of Augustus (born Gaius Octavius). She was the wife of Marcus Antonius and maternal grandmother of Emperor Claudius.
It's quite a nice name, nicer then a lot of Ancient Roman names. The only real Ancient Roman name that everyone loves is Julia, but Octavia is a lovely name.
I'm not sure I really ike this name or not. I think what really bothers me is the first syllable. "Oc" seems harsh, but "Tavia" (if you pronounce it 'tah-vee-ah' and not 'tay-vee-ah') is pretty. I suppose it's because one doesn't hear the "oc" beginning in most names. There's really no way to fix that though.
My daughter has a good friend named Octavia. The name is very unique, and because of my association with her, suggests an energetic, intelligent and high-octane child. An excellent name all around.
A terrible name for a child if you know let her know the etymology of it, but as far as it _sounds_, I think it's a very attractive and noble-sounding name for a girl.