i used the International Genealogical Index (IGI) on this site:
familysearch.org
If you look on the left of the site it lists various sources including the IGI.
In the search box I typed Jospeh Sutcliffe, for event I selected christening and then I selected Derbyshire, and then I just clicked on each one in the list looking for the best match to known info, did the same with Mary Ann and with Eliza Cox. You can put in an approx birth date which narrows down your search.
On the IGI you can search hundreds of christenings and marriages from every county, as long as the Parish where the event took place has had it;s registers transcribed and included in the index.