The attack of the Bull Mastiff?

Ok, here in a nutshell is my situation. I am unsure as what to do in this case. My next door neighbor has 2 Bull Mastiff's. One is just as sweet as can be, the other's as mean as a...well Bull Mastiff. Anyway to give you an idea of how big this dog is, he looks exactly like Hagrid's dog Fang from Harry Potter. Anyway, in February of this year, I went outside to warm up my car. I was walking back to my front door when I heard this very low bark. I looked to my left, saw the owner with the huge mean dog on a leash, so I just turned my head back and started to go toward my door again. I then heard a loud "snap" (it was the leash breaking away from the owner) I looked back over and here comes this huge dog lunging at me. He put his paws on my shoulders and tried to get my throat. I got smart and quickly lifted my left arm to protect my neck/throat so the dog sunk his teeth into my left shoulder. The owner was yelling "Help, he's going to kill her"! The dog knocked me to my knees at this point, and luckily the owner got him before he got another chunk out of me. Ok, here is my question. I had to go to the hospital as bites do get infected, so I needed antibiotics. Not to mention the HUGE knot and holes I had in my shoulder. The owner knew I was going, so she said "I will pay for it". Well, guess what.........no payment to the hospital has been made. I have started a personal injury lawsuit. How long does a personal injury lawsuit generally last, and if they have no insurance, pretty sure they do though, will they just have to pay for the bill?