Donna’s looking for instances where a cover version with a woman’s voice is an improvement over the original recording by a man, and cites some reasonable examples thereof, though I think the better comparison with “Different Drum” Linda and the Stone Poneys still rule is with Billy Roy Hodstetter’s somewhat-rushed 1966 version. (The first actual recorded version, by the Greenbriar Boys, seems unduly arch to me for some reason.)
I suggest a possibly-obvious choice: Janis Joplin’s update of “Me and Bobby McGee,” which not only surpasses Kris Kristofferson’s own version but totally eclipses Roger Miller’s, the first version to show up on a sales chart.
And this one, perhaps not so obvious, in which the Corrs, with the able assistance of Ron Wood, manage to upstage the ghost of Jimi Hendrix:
Maybe it’s the whistle. (And if you’d like to discount Mr Wood’s presence, here’s the studio version, in which he does not appear.)