Any record can be wrong. A person can provide different places of birth from one record to another. And…we sometimes can’t even be certain who provided the information about that person. Different informants can be the reason information conflicts.
Don’t immediately conclude that you’ve got “two different people” just because census records provide different places of birth. Look at the other information the record provides about that person–the age, the residence, occupation, other family members, etc.
It’s about the whole person and all the information–not just one record or one fact.
But don’t make inconsistent information “fit” just because it “fits” your theory or extends your tree further back. Analyze it, understand it, and make certain your conclusions and inferences are logical.