insurance fault dilema?

So, my wife was involved in an accident, and we filed a claim with the other driver's insurance, they said their initial findings conculded we were at the majority of fault and their driver was filing a claim against OUR insurance. So we hear from our insurance saying they decided thatmy wife was 20% at fault and the other driver was 80% at fault, and that since we only have liability through our insurance we would need to take it to the other driver's insurance.

So we call back the other insurance comapny and ask if they have made a final fault decision. They said that they heard from our insurance company that their driver was found to be 80% at fault and that they needed to discuss it with our insurance company to make a decision. Last Friday i called to check back in on it and the guy I spoke to told me that they were accepting 80% fault and that they needed to have us take the car to one of their approved shops for an estimate, then they would cut a check for 80% of the damage and send it to us. So on Monday we took it to the shop and got the estimate done. $1550 to repair. I figure it will take a little time to process everything so i wait and today I heard from them and it is some lady saying she is waiting on the Police report to make the decision as to weather they want to accept any liability and fault. I told her the guy i spoke to on Friday said they were accepting 80% fault and that is why we took it to the shop for the appointment THEY set up for us. She told me I must have misunderstood. I was polite but very frustrated and told her I definately did NOT misunderstand what he had told me and that he said that they were accepting 80% fault. She insisted that I was mistaken and that I just took it to the shop so they knew what the damage WOULD be if they accepted fault. I realized I was going to get nowhere with her so i thanked her for her time and said goodbye.

I feel they are pulling something sneaky and not being upfront and honest but i do not know what to do. Any advice?