In the 1900 census Abram Currier states his father was born in Massachusetts. If his father came from Issachar Currier's grandchildren then it would appear Ann "Currier" would have married a son of either from:
David Currier born 22 Nov 1768 at Amesbury, died 1828, m. (1st) 1 Sep 1791 Fanny Bent b. 20 May 1774, d. 22 Nov 1793 at Upper Gagetown: she had one child: married (2nd) Jemima Lyons born 1776 in NY, died 1838 at Gagetown, NB, d/o Daniel Lyons: they had thirteen children
Enoch Currier born 7 May 1776 possibly at Newburyport, MA, d. 10 Dec 1876 at Littleton, ME, m. 1 Oct 1812 Hannah Taylor b. 14 Apr 1789, died 4 Mar 1867: had four children
It is interesting you mention earlier an Enoch Currier and Hannah Taylor but the dates and other information are different the New Brunswick Genelogical website.
Would there be a way to find the sons of these two men and see if any married an Ann? (Abram Currier's mother)