Oh Karen, I am sorry to say, Yes! female cats pee in the house.
I have forest green carpeting and there is discoloring in every room from my (rainbow bridge) calico, Patches. She peed at the slightest whim - in front of us - while we weren't looking, anywhere, anytime. I had her for over 16 1/2 years and she was a problem child from day one!!

We could never figure out what it was that caused it, because for two years of her young life she was an only cat. It didn't matter how much attention she got, how many treats she just would decide to pee! I have to tell you that it was maddening, but on the good side of the coin, I have never had a cat that was more expressive, loyal, talkative and very loving. She ordered me around - told me when it was time to go to bed and curled up contentedly at my head each night as I rubbed her belly! I work at home, and she spent every day inside with me in my office, supervising my work. Strange, but she never peed in my office.