Your female sounds like she is showing the signs of submissive urination. There are some steps you can take to break this cycle, but she needs her confidence built up. This often happens if you have been too harsh with her during potty training and that's why some people recommend ignoring the accidents and praising the success. Your mom's dog, on the other hand, feels like he is the leader of the house, and must protect the pack, this can be anxiety provoking as well. Calm assertive behavior displayed by the owner can work in both of these examples, and ironically, the steps necessary to reduce the submissive peeing are very similar to the steps needed to reduce the jumping behavior displayed by your mom's dog. Both dogs are over-excited. Here's a link on submissive peeing.
Sumissive Urination
Here's some information on jumping up.
Jumping Up, Dog Training and Puppy Training by Perfect Paws
Neutering won't help this behavior, but neutering is a great idea for many other reasons.