How deep is the genetic connection between environment and genetics, especially with regard to art?

I've always wondered if anyone else has found a deep connection between the activities of their parents before conceiving, and the attributes of the offspring.

To clarify, my mother was an exceptional classical pianist when she was young. No one in my family had ever been great musicians before this, although my grandparents both loved to sing. She'd completed 7 out of 8 grades by the time she finished high school (there are only 8 grades of musicianship), but had only ever played for herself, and didn't know any other classically trained musicians.

Anyway, when she finished school, she decided to quit the piano, get a job, get married, and make babies - which is where my brother and I come in.

Since a young age, both of us have been quite musical, although we went in different directions. While he became a drummer, and quite a good one, too, I played guitar and saxophone, as well as singing. I'm in my mid-thirties, and my mother has only just decided (about 2 years ago) to pick up the piano again. Before that, there was only one occasion I ever saw her play, when I brought home a particularly difficult piece of sheet music, and asked her to help me to learn it.

So I've always wondered, if mum had never played classical piano for 4 hours a day, 6 days a week for 4 years, would my brother and I ever have become musicians?