can you have two cases open for the same amount because one person cause the accident and the other damaged my vehicle frm cite

I was involed in a car accident that also cause my car to be towed during the towing my transmission was damaged and both of the people that I took to court was for the same amount to recover for the transmission, I didn't care which one would pay I just know it was running before the accident. As of today I still have'nt recieved any judgement which was granted to me because the towing compant did'nt show in court. The person that cause the accident case hasn't beem to court yet and her lawyer says because I received a judgement already I could not receive another judement in the same amount and I just want to know is the true. A also purschase a writ of execution for the towing coming which I'm still waiting am I wasting my time with the person that cause the accident please let me know