English Births and Christenings is not just Anglican. This particular set of records are from the IGI (batch number C01364-9 and is a batch from an unspecified source. (I don't think the LDS always knows where these indexes originally came from. When they do, they label them http://www.archersoftware.co.uk/igi/fs-yks.htm#S
I suspect as RJ said that they were indexed by someone who did not take into account the fact that the first month of the year was March not January. (check out the less common name of Seibell in the two indexes, one says August, the other October )
The actual image on Ancestry is from PRO RG 6 Piece 1116: Monthly Meeting of Settle (1652-1775)
Head of page Bentham Births cont
Eliz'th daug' r of John Wildman of Stockbridge in Tatham 4 mo 28 174 (ie June 1742)
Alice daug'r of John Wildman aforesaid 11 mo 5 174 (Jan 1743/4)
The last figure is in brackets because it is a bit of guesswork as only a tiny bit of the last number is visible on the page (pretty certain the first is correct ,the second a little less so, Ancestry index has these dates It is clear that they have transcribed the year as written ) .
The marriage between Alice and John Cumberland confirms the place (wasn't certain of my transcription, as Tatham is not in Yorkshire)
John Cumberland, son of Stephen Cumberland late of Gray Hill in the Parish of Tatham and County of Lancs, Linnen Weaver, and Eliz, his late Widow- And Alice Wildman Daughter of John Wildman, late of Stockbridge in the aforesaid parish and County, Linnen Weaver and Ann his late Widow having declared their intention of taking each other in Marige before several Meetings of the People called Quakers, in the West riding of the County of York, and the proceedings of the said, John Cumberland and Alice Wildman, after due enquiry and deliberate consideration thereof were allowed by the said meetings, they appearing clear of all others and having neither parents nor guardians in trust surviving
Now these are to certify to all whom it may concern that for accomplishing their said marriage this fourth day of the fifth month called May in the year One thousand, seven hundred and seventy five, they the said John Cumberland and Alice Wildman appeared in a public assembly of the aforesaid people and others in their Meeting House at Bentham (cont) At the end both couples 'signed' and there is a list of all the witnesses including Thomas and James Wildman. It's clear that this is a copy and not the original record since all the signatures are in the same hand as the rest of the entry.