Want her father a lord?
Hmmm, I guess you’re right. Camilla’s father was a Major before he became Vice Lord Lieutenant of East Sussex, and one of his duties was looking after the Royal Family when they visited in his area.
It has been said that her father didn’t like Charles much, and was angry with him for ruining his daughter’s life.
https://www.goodhousekeeping.com/life/a22466720/camilla-parker-bowles-parents-prince-charles-young/
So maybe he actually did get her pregnant and she gave the baby up for adoption. Maybe that was the rift at the beginning.