A groupie is a person that tries to get attention by a musician or a celebrity, of emotional sexual closeness.
A muse is the inspiration to the band or one of the band members.
Exempt A: Paul was inspired by Jane, there were some songs by her.
All my love, And I love here ,and other love Ballets that was sung by Paul
Exempt B: George wrote few songs like something in the way she moves, sweet love, and etc. before her relationship with Eric Clapton that wrote Lalya was inspired by her beauty and his love of her.