The birth record is more likely to be correct, and the error happened later.
But once there was an error in the household records it was likely to be copied to the next volume, and the next move, and the next volume, etc. and finally to the death record.
To be sure if the birth you have found is the correct person, you need to follow her in the household records until the error happens.
The error could be in both birth-place and birth-date, so you need to make certain that you have found the right person.
If you don't have household records for the time period it is more difficult. You can see if parents are mentioned in the death record, or look for things like siblings showing up as baptism witnesses for her children, or perhaps an aged parent moved in with her, or you can try finding the parents' estate inventories.