We certainly need more than just a single headstone to make this decision .
Given the naming patterns that were/are often used, or a general tendency to name children after family members, it is easily possible to make mistakes.
In a family I am currently researching, there are 3 sons named John, James and Jacob, all living in the same area sometimes only listed on a census by the initial J.
One married an Elizabeth, she died then he married Margaret, another married an Elizabeth, and it seems that their mother was named Elizabeth.
It can be far more complicated than it seems.