FreeBMD has a marriage of Thomas WEBB, June qtr 1844, Ledbury registration district, vol 26, p282. Caroline DAVIS is listed on the same page.
Ledbury RD included parishes in both Herefordshire and Worcestershire. PRs for those counties aren't on Ancestry, and FindMyPast has some records for H'shire and W'shire but not this one.
Could they have been RC or otherwise non-conformist? Might they have used the Register Office?
Carol