and welcome to the world of shelter dogs. Two things come to mind:

1. She is so happy to be in a home that she is trying to mark her "territory". It is up to you to let her know what is acceptable and what is not acceptable.
2. Sometimes shelter dogs (because they have been in kennels) don't understand that parts of the house are not the other end of the kennel. When dogs are housed in a kennel - they take one end of it and think of it as "outside the living environment" so they can poop and pee. When they get into a home, they tend to see a part of the house as that area (especially if there are other urine smells).

Both issues are solved by the same techique. If she goes outside - praise her to high heaven "GOOD DOG - GREAT DOG - WHAT A TERRIFIC DOG - HAVE A BISCUIT". If she goes in the house just say "Oh - no" take her outside and when she goes "GOOD DOG - GREAT DOG - WHAT A TERRIFIC DOG - HAVE A BISCUIT"

You might try leash bonding her for a couple of days. Have a leash on her and attached to your wrist 24/7 for a few days. That way she is always in your sight and you can correct her and praise her as necessary.


Good Luck