Is the dealership liable at all for allowing me off the lot without insurance?

Last March, I was in a motorcycle wreck. I'm told that I was clipped and the driver took off. I was unconscious for three days and don't remember anything from that day, until two weeks after my wreck. I was in the hospital for 3 days. A few months after my wreck, I began to receive medical bills (my name was spelt incorrectly on all the bills). I am in active duty military so I immediately called my insurance and told them what was happening. The insurance rep may have misunderstood me, or I misunderstood her, either way I was under the impression that it was being handled. The bills stopped coming so I assumed they had been paid. I recently checked my credit report and I have two hospital bills in collections one for $97,000.00 and another for $400.00. I have been working diligently with the hospital, the bill collectors, insurance and the credit reporting agencies to remove this inaccuracies. However, I am wondering if there is anything I can do (legal wise) to the hospital for what I feel is neglecting to do their job appropriately. The hospital stated that they could not verify my identity with the insurance because I was unconscious in the hospital, but the bill is on my credit report so clearly they had my social and the billing agent confirmed that they have my social. A bill collector stated that it’s "their job to sort this stuff out and make sure that they are billing the right people" but I feel they failed to do that because neither of the bills were ever filed with the insurance. I checked mine and other medical bills were filed and paid within a month of my wreck.