Have you tried the IGI at www.familysearch.org ?

On the search page leave the name blank, fill in the parent's names.
Search for a baptism.
You know one date, so put in 1810 as the year and use the 10 or 20 span option.

Select British Isles and then IoM.

This will turn up several baptisms.
The list may not be complete.
The mother's name is not always given or only the forename may be recorded.