This site will give ou a list of churches and addresses.
The baptism record won't give you any additional information, usually less. It definitely won't give you the parents names even if they were present as it was against the law to name them if they weren't married. However, since the weaver, age 60, who declared the birth, was also given the child to provide for its feeding so she undoubtably knew the mother (she may even be the Grandmother) but it will be alost impossible to prove. There won't be any written record unless the parents 'recognized' the child formally after they married.