The Living Status field in Core can be found within General Information of the Contact Card through People Finder. This field integrates to the marital status field in The Raiser's Edge through Connect RE. If this field is blank in Core, it will be made to be blank in The Raiser's Edge by Connect RE when that record is processed.
The Living Status can be updated with a Data Import. To perform this fix we will need a spreadsheet with these fields (SP indicates spouse):