This case is about Peter Fabiano and is known as the Halloween murder from 1957. 

https://www.truecrimeedition.com/post/peter-fabiano

https://www.vice.com/en/article/53n88a/the-bizarre-lesbian-murder-scandal-that-rocked-1950s-la

https://thevintagewomanmagazine.com/mid-century-halloween-murder/