Does anyone if this track does in fact exist and if so is there anywhere i can find the lyrics?

any help would be appreciated.

thanks.

Do you mean "Wednesday Like A River" by Sheila E.?

Prince does sing some backup on that one . . .

"Wednesday" was a song intended for the Purple Rain album.
This is the text from the Uptoen book "Turn It Up 2.0" about the song:

"This is a piano-led ballad, written for Jill Jones to sing in Purple Rain in her role as a lovestruck waitress. Recorded in Prince's home studio on October 24th 1983, it was placed on a test pressing of Purple Rain, dated November 7th 1983. Susan Rogers describes "Wednesday" as "a little piano piece that Prince was playing upstairs for quite a while before it was recorded. He put a guide vocal on it, but it was going to be sung by Jill, who was madly in love with him in the film. She would be sitting at the piano in the club after they had closed, playing this song, 'If you don't call by Wednesday...'"."

The song remains unreleased and I don't think that you can find the lyrics anywhere.