I had a look at the image of the register page and it looks as though Catherine was from Alverstoke (Worcestershire?). Plenty of Parsonages in Alverstoke but no Catherine (except Catren JAMSE who married Thomas PARSONAGE in 1662). There's no obvious death for Thomas which would leave Catherine as a widow, but I wondered.....
Is it worth looking for marriages of a Catherine to a PARSONAGE in and around the area before 1681? If any can be matched with a subsequent death for the groom and no sign of a death or remarriage for a widow Catherine it might provide a lead.
Philip