Thanks to British GENES (British Genealogy News and Events) for bringing this news to my attention
FamilySearch has made a collection of Cheshire Nonconformist records from 1671 to 1900 available.
Nonconformist registers were recorded in volumes of varying size and format. Nonconformist church registers cover approximately 15 percent of England’s population and 80 percent of Wales’ population after 1850.
A Nonconformist church was one that disagreed with the Church of England (Anglican). They may have disagreed with its rites of worship, opposed its authority, or objected to it being heavily supported and subsidized by the government. This group includes Roman Catholics and there are certainly some Catholic records in this collection.
You can search the collection here