Name that song!

From the Tied to the '90s inbox, we have a request from reader "Drew."

"I'm trying to find out the name of a song and the band who sings it.  I can't seem to find it on the net except on YouTube.  It is on a show called Austin Stories on MTV circa 1997."
The song in question begins at 6:13 of the video below.


 Alright, '90s fans, any ideas? I have honestly no clue.