Haha, I'm always stalking on Nameberry, even though I hate them. It's obsessive love-hate.
I pronounce it like you, add-uh-leen. I'd say that with the exception of
Clementine and
Caroline, most -ine names that have an -ina equivalent are pronounced een.
Adelina,
Florentina,
Augustina...
Ovidia is cool. That article got me onto
Petronilla and all its awesome variants as well.