Will a cat remember her old home?

Hi, I took in a an outdoor cat from my mum's neighbourhood over the winter for about 3 months as she was mainly living in mums backyard and mum would feed her but for various reaons didn't want her in the house. Anyway, the cat has been happily living indoors but now the weather is getting warmer has shown interest in going outdoors. My neighbours aren't all that cat friendly and there are a few more cars than at mums place.

My question is: if I was to bring her back to mum's backyard do you think she would recognise her old territory or get lost? The neighbours there all know her and their isn't a main road for miles and mum is home during the day to feed her and keep her company in the garden, she had previously lived their outdoors for approx 6 months. Thanks!

Yes, I do think she would recognize the territory.
I'm not sure if you intend to keep her there or it is just for a visit.
In any case, your cat may try to return to her other (your) home. It depends on how bonded she is to you and to where she is living.
Long story short: a cat (Buckley) a friend had been fostering for nine months escaped her house. Two weeks later, two miles away, Buckley returned to where he was originally trapped and removed. Which happened to be from the community cat colony I took care of.

Thanks for your response Ritz. I was hoping to take her for the occasional visit or if I had to travel for work. She seemed to enjoy the outdoors but I've always had indoor only cats at it causes me high anxiety to let her out! She obviously wanted to be indoors during the winter as she kept trying to get into my mum's house, so I took her in - it broke my heart on those really cold nights seeing her peaking in through mum's back door. We have had a good winter and she does seem to be getting more and more bonded to me - (comes to bed as soon as my head hits the pillow now - used to need lots of encouragement) and she seems really relaxed and happy but I do worry that she wants to be out as she has escaped twice now.