I live in MA, and called multiple offices to ask and it is not possible to amend a marriage certificate. They said the only thing that could be done was to actually get divorced and remarried, with all the legal crap that entails. They also would not "correct" a marriage certificate issued elsewhere, they would copy information exactly as it was on the original, but could not correct or update the info.
I was investigating because I was going to get married first, and ended up waiting so that ours would be correct. We're actually getting married this week now.