Is a victims family able to change a surname post mortem?

I know this is kind of specific, but I put myself in a mindset of a victims family member... Say for example they got murdered by their spouse. It would make me die a little inside every time I saw that murderers last name linked to my hypothetical family member. In such a case, would a family member be able to change a victims name posthumously? I don't think it's possible from my own research but I thought it was an interesting question, and wanted confirmation.

Thanks! :)