Change a car's Bluetooth identity?

We have two automobiles made by the same manufacturer. I have linked my iPhone to each car by Bluetooth. My iPhone Bluetooth identifies both cars as "My Car." I think it might be helpful to distinguish between the two in my iPhone. I asked in a support forum for this manufacturer if I could reset something in the automobiles in order to give them separate names in the iPhone. The one response I got was, "No." We cannot reset the names of the cars within the cars. The online respondent recommended seeing if there is some setting in the iPhone that would allow me to rename the cars in my Bluetooth setting. Is there such a setting? TIA