certainly in the IoM even the superintendent minister had his children baptised in parish church - elsewhere I guess the minister might be more radical though the official break did not come until the mid 1830s (carefully after a Parliamentary act that removed any penalties for non-comformity)

I've found the John Rylands library staff to be very helpful but not always immediate in replying - I'd email and check as I did a fair amount of work there but several years ago, since when the library closed for a couple of years for rebuilding etc- I'm not 100% sure just where and how immediately accessible ,some of the records are