Maxwell was at her home on Friday when she fell and cut her throat on a drinking glass that shattered during the fall, her representative said Monday.
Her husband, producer Carsten "Soulshock" Schack, found her some time later and called 911. Maxwell was rushed to a hospital where she died, the representative said.
She is survived by Schack and her 11-year-old son, Nicolaj Hojer.
Maxwell found fame in the early '90s after she formed the group with Monica “Mimi” Doby and Nicole “Nicci” Gilbert. After an a cappella audition, the R&B trio were the first act signed to
Brownstone released its debut, "From the Bottom Up," in 1995.
The album featured hits "Grapevyne," "Pass the Lovin" and their cover of the Eagles' "I Can't Tell You Why."
Maxwell's group is best known for its 1994 smash, "If You Love Me."
The gospel-inflected groove was its biggest hit, peaking at No. 8 on the Billboard Hot 100 and on the U.K. singles chart and is a hallmark of R&B's '90s golden era. The song was nominated for a Grammy and later covered by British soul star Jessie Ware.
Brownstone issued another album, 1997's "Still Climbing," after going through the first of a few lineup switches. Schack worked on both albums.
In 2013, the group attempted a comeback on "R&B Divas: Atlanta," the hit TV One reality series that once starred Gilbert (who serves as executive producer).
"I just need to be by you one more time on stage Max," current member Teisha Brown wrote on an Instagram post that featured a recent picture of the trio performing.