Is this an actual, commercially released song or is it a song specifically written for this drama? I checked the track list of the soundtrack and there is no mention of "Kaze no Uta" there. I assume that is the title since that's what the actress said.
I can't remember the precise dramas, sorry. But they're often high school dramas in situations like choral contests, or that scene in Q10. I do vividly remember Nagori Yuki in Yankee Bokou ni Kaeru. I love that song.
I do like the music, I'm just not familiar with the artists. The artists that I know tend to be Anisons(anime singers) like Horie Mitsuko, Ichiro Mizuki, MOJO, etc. I recently learned about Candies after sifting through youtube. So many beautiful versions of Kaze.
I just Youtube and Google around when I come across an artist I haven't heard before.
But my first ever Japanese song was Ashita ga Arusa by Sakamoto Kyuu. I learnt the lyrics phonetically when I was young and sang it on the way home from school.