Difference in rights of owner and co owner of the property

I am purchasing a house with my mother. I am borrowing money from bank as home loan. I am the main borrower of home loan from the bank and my mother is the co-borrower of loan in the bank. She insisted me to put her name as "FIRST NAME " in the house registry and my name as "SECOND NAME" in the registry. I wanted to know Is there any difference in the rights of person being assigned "FIRST NAME" or "SECOND NAME" in the registry? Does FIRST NAME has more rights than SECOND NAME in the registry? Please let me know