If this phrase feels familiar, it is because it perfectly mirrors the lyrical style of several music genres and cinematic universes:
The "Bettie" in "Bettie Bondage" refers almost exclusively to the legendary Bettie Page (1923–2008). Often called the "Queen of Pinups," Page became a massive counterculture icon in the 1950s, not for being a movie star, but for being a model who fearlessly posed in risqué lingerie and bondage scenes. This work, which included wearing leather, high heels, and using props like whips and ropes, was highly controversial in the conservative "I Like Ike" era of post-war America.
The phrase becomes devastatingly literal when applied to Bettie Page's own life. The fantasy of "Bettie Bondage" was born from a horrific reality. Her childhood was a maelstrom of poverty and abuse. Her family was desperately poor during the Great Depression, with her parents constantly struggling. Her father, Walter, was a violent and abusive womanizer who also molested Bettie and her sisters.