I can just feel all the love and devotion you have for Molly in this post. Bless you. You are trying everything you can.
She is doing very well in her recovery from what you describe. Dogs are amazing!
I am afraid I can't think of any suggestions you haven't tried. Let's hope someone else here will have more ideas. My first thought -doggy diapers.....well that one wasn't such a great idea....
My dog had a brief period of incontinence due to early stage kidney failure. Otherwise she was well and happy at the time, but used to bed-wet for a few weeks until her medication and new diet kicked in. I put incontinence sheets under every single cover in the house, figuring that a sheet was easy to wash, even if I had to do it every morning ....but a whole mattress or cushion, etc was NOT. The incontinence sheets saved so much furniture and our bed. They were quite cheap, from ebay. But you can buy stronger ones which cost a little more.
Or you could use a small size cheap tarpaulin. These are also useful for any carpeted areas. With Molly you might have to pin them down with furniture though, as she might burrow under them, and think that's a great game!
I removed the wet sheet each morning, wiped down the incontinence sheet with anti-bacterial stuff which dried quickly, and put on a clean sheet. It wasn't too bad.
But with my dog is was only during sleep that happened. She didn't dribble around the house, and as we spent a lot of time outside, she peed normally out on the grass. It was a different situation.
UTIs can often happen when the urine isn't fully expelled (as you probably know) and Molly's problem is mechanical, so that may often happen.
Echinacea Angustifolia is a herb which can often give good results even with antibiotic-resistant bacteria. It can have good healing effects even on diabetic foot ulcers which do not respond to antibiotic treatment! But although it is safe for most dogs I don't recommend just giving it to Molly without a consultation with a herbal or holistic vet. There is always the possibility it wouldn't suit her for some reason, and it would be better monitored by a professional.
Most vets have either never heard of it or wouldn't know about it. I think Cranberry is also okay for dogs....but please do verify that and mention all treatments to your regular vet. Those would only help against the UTIs, but couldn't give a quick fix to the incontinence issue, which is neurological in origin.
I can see you are doing your very best with Molly and love her very much. She sounds like a lovely girl! She has made good progress in some ways.
Thank you so much for your response. I will put her on echinacea for a bit of added help. She's already on antibiotics and yogurt. She's my baby girl so I don't mind the endless laundry. Right now she is doing much better with letting me know when she has to urinate but we are still working on bowel.
I found taping trashbags down with a blanket and sheet over it. She hates the sound.where she lays works for a little while when she sleeps (sometimes her bladder doesn't wake her up.) I tried the tarps after you suggested it but she just would not walk on it. (yeah she's spoiled) Thanks again for the suggestions they were great!