The CofE churches in Hinckley Registration District that licensed for marriages were:
Aston Flamville
Burbage
Burton Hastings
Sapcote
Sharnford
Stoney Stanton
Higham-on-the-Hill
Hinckley
Hinckley Trinity
Stoke Golding
Barwell
Elmsthorpe
Earl Shilton
There were also 2 Baptist chapels, 5 Wesleyan and one each of Catholic, Presbyterian, Independent and Congregational chapels, all of whose marriages up to 1898 would be recorded in the registers of one of the Registrars of Marriage, held at the Register Office.
This list is from 1878, so there it may not be accurate for all the dates you mention, but it should be close enough to give you a general idea.
Does this help?
Good luck anyway.
Mean_genie