I fell down stairs at a hospital in Texas, can I pursue a personal injury/tort action for my medical and general damages

Fall down the hospital stairs.: My wife fell down the stairs at a local hospital in Texas. This was witnessed by two hospital employees. They helped her to the emergency room where it was discovered that she had broken her ankle. When she tried to give them her insurance card it was refused. They told her that "we will take cars of everything." She was put in a temporary splint and told that they had made her an appointment for the next morning to an Orthopaedic Surgeon across the street. When we arrived at the doctor's office we were told that no such appointment was made. I then called the hospital and spoke with the Risk Management supervisor. He said he had no record of any accident. I informed him of the incident and my wife provided him with the names of the people that witnesses her fall. He said he would have to investigate before approving any doctor visit. I informed him that we were in the waiting room of the doctor and she needed to be seen, and that his people had told us the day before that they had made the appointment. He said that no one was authorized to make that decision except himself, but said he would tell the doctor to see her immediately. The doctor took his own x-rays and determined she had broken her fibula just above her left ankle. He fitted her with a walking boot and asked her to come back in three weeks. At this time she was x-rayed again and because she was slow in healing she was told to continue with the boot and come back in a month. In the mean time I spoke with the Risk Management supervisor about the ER bill, the bill to the doctor, and the bill for the boot. He said he would take care of the ER bill, but he would only take care of the first of the three doctor visits. I called my insutance company and was told they would be unwilling to pay because the claim was not filed in a timely manner. This happened 10 weeks ago. We are really not wanting to sue the hospital, but really just want them to follow through with their promise to "take care of everything" as they originally stated. My wife will most likely recover completely and hopefully have no lasting complications other than the mental anguish and stress she has been put through. I guess my question is if the hospital should be obligated to pay all the bills for this accident? - Is this your question? Add additional information