Did SHE say maybe drop by and see her one day? If so I'd say go for it.

I'm in a similar situation with my next door neighbor. She's extremely attractive (by my standards) and sweet. I put a note on her door one night something to the effect of 'say, why don't we walk up to the neighbor bar tonight for a drink just for the heck of it?" She never acknowledged the note or said anything but a week later, I had just walked in and she knocked on my door and said "did you just knock on my door?." I hadn't but the more I thought about it I felt that could have been a flirt.

I'm playing it by ear and seeing what happens. Neighbors, co-workers, it can become complicated. On the other hand, your girls Father IS a millionaire, might be worth the risk.