There is one way to find the father, but it is a bit complex. Marriages were registered by county up to about 1890. The York Co. Marriage Register Vol. A: 1812-1837 is on microfilm F-15550 at the Provincial Archives of New Brunswick in fredericton, NB. It may be possible to get this film by interlibrary loan. Talk to the librarian at your nearest, large library. Not only do you look for a Currier who marries and Ann with a Scottish surname, but note the witnesses as they are usually relatives and provide a clue to relationships. It may also be worthwhile to look over Probate Court Files. An index is on film F-10958, with 1786-1837 on F-11752. Also Probate Court Books 1794-1846 on F-6212. Also Anglican records:
We can be pretty sure that they were married about 1820-1, and that their children were likely baptized (at least at first) in the Anglican Church. As to differences in dates in different compilations, well, that's sort of normal, and you can't believe everything you read. Issachar Currier's will was probated in York Co. in 1802. He was a resident of Kingsclear Paris at the time. I do not find members of the family in Kingsclear Parish in 1851, so assume most moved to Maine. Even so, a Maria Currier of Kingsclear m. James Harper of Fredericton 2JUN1845. Hannah, wife of Enoch Currier, d. Littleton, Aroostook Co., ME 6APR1865 age 73 years (b. ca. 1792) according to a newspaper notice. The NBGS entry has her b. 1789, d. 4MAR1867. I cannot explain the discrepancy.