Your post made me stop and check, and Wikipedia says this:
"After performing in the music groups Breakfast Club and Emmy, she signed with Sire Records (an affiliate of Warner Bros. Records) in 1982 and released her self-titled debut album the following year."
I've got to track down the tune I heard in '79. I definitely remember her having a song that got a fair bit of rotation on the R&B stations in L.A.
That same article - or references - shows no action from BClub either. Don’t know. Never heard of her until “Borderline”.