I agree. I did some online dating and learned it worked better for me to meet in person before getting into personal information. I kept it superficial until real life and skipped phone conversations altogether unless it was to confirm plans. I'd answer such questions with "I had a difficult childhood so I'd rather wait to talk about it" or something like that.

She sounds like she was pretty rude regardless, so maybe it's better you found out sooner than later. Going forward it's something to think about (holding off on the deeper stuff until you know each other better). Family stuff can be overwhelming and awkward to discuss at first, especially if you've never met in person. A lot of people could be caught off guard and easily say the wrong thing.