Jane had some good questions/suggestions.
I have 2 dachshunds! It's great to meet another doxie owner, Dappledoxie and Sasami have doxie's too.
I'm thinking so, but are your dachshunds spayed/neutered? It definately sounds like a behavorial marking thing between them. What are you cleaning the carpet with? A cleaner like Simple Solution and Nature's Miracle work really well to clean spots, so they don't keep going back to it. Water and vinegar work also.
It might be a little bit from all she's been through, too. Poor girl!
And that is horrible about her tail. So glad you and your family took her in. And it's only been a little bit, I'm sure it will get better as she settles in to her new surroundings.
Dachshunds tend to have a little seperation anxiety to start with, too. My doxie Kahlua, knows right when we are leaving, he starts crying and runs right to the crate, lol. I'm sure it will get better with time, once she realizes where your husband is going, only upstairs, and that you guys aren't going to leave her like the previous people. Bless her heart!
Keep us posted and I look forward to hearing more about Oskar and Molly!!