The character of Kelly Porter, the female bubblegum pop singer who was in the closet (played by Bridget Fonda) was inspired by Lesley Gore who actually helped compose some of the music in the movie. At the time of Gore's 2015 death, she had been with her romantic partner, Lois Sasson, for 33 years.
The soundtrack song "God Give Me Strength" was composed by Burt Bacharach and Elvis Costello under curious circumstances. Since both men were on opposites sides of the Atlantic (US & UK), the song evolved over the course of several long-distance calls and alternate exchanges of recorded snippets left on answering machines.
According to director Allison Anders (on her commentary sound track for the DVD) it was a first for a movie to show a woman's waters breaking (in the recording studio scene - however such an event had already been depicted as early as Cinderella Liberty (1973)) as well as having her sweater getting wet because it was time to breastfeed her baby. Allison Anders had also asked for "child care" to be listed in the end credits.