Can I transfer my mother car in my name, and if so, how?

Was your mother not married when she died and has no other children. Then you can go to the probate court in her county and get the car transfered to you. Otherwise, the spouse and/or siblings have a claim on the car also.

You will need to file the proper paperwork at probate court so they can release the car. If she has any other assets to transfer, you can include those as well. The value of the car and other assets will determine which probate process you proceed with.