"Suddenly Mary's Fine"?
The Posies, maybe? They had a track called Suddenly Mary on Dear 23 that would have been out around 90.
indeed it was:
PICTURES OF YOU - THE CURE
STILL GOT THE BLUES - GARY MOORE
POOR HOUSE - TRAVELING WILBURYS
JOEY - CONCRETE BLONDE
BABY IT'S TONIGHT - JUDE COLE
THE ONLY ONE I KNOW - CHARLATANS UK
BAD LOVE - ERIC CLAPTON
SUDDENLY MARY - THE POSIES
ACROSS THE RIVER - BRUCE HORNSBY
NOT A SECOND TIME - PRETENDERS