[heRS]

Dog trainer here: When 2 dogs fight your best bet it to figure out who is the "aggressor" and hold that dogs' tail to give the other one a chance to get away. Never try to get between them! In the above scenario, I would have taken a hold of the female's tail to let the male get away. When you hold their rear legs or tail as described, the dog is still focused on the other dog and is less likely to bite you. Hands off procedure, a deck chair between them, not your hands! Or the hose. Or an air horn.
Why were they fighting? Possibly over a toy or chewie, possibly a dog outside the fence got them excited and they took it out on each other? Or, he wouldn't quit bugging her and she took him to task. Will he go there again? He's male. Most likely. If it becomes a regular thing, I'd rehome one or the other. Some dogs just do better as "only dogs".
The dog on top pic looks to be part boxer. Is that the male? They are a more high energy dog than a pit, and they have poor social skills with other dogs quite often.
Shock collars? No wonder they're frustrated! Are those bark collars, UG fence collars or some sort of training collars? Sounds like you need to find a good trainer who uses positive reinforcement training to teach you and your girl how to be better pet parents so you can lose the shock collars.
Dog training isn't always about the dog, it's about the signals we send when dealing with them. Learn how to understand the dog, you'll have a happier relationship all the way around.
If she goes to a hospital, they will require the dog to go into quarantine and it will not go well for the dog because it's a "bully" breed. Clean those wounds well!