Yea, that's Annie, daughter of John Gilbert and Sarah Douglas, and sister of Sarah Frances who married John Earls Rutherford.
I haven't done much on Sarah and John Rutherford. They married at Holywood Church on the 18th Feb 1873. John was from Manorhamilton (Co Leitrim), and that's where all their children appear to have been born. Sarah is mentioned in the wills of Robert Douglas and her great aunt Mary Falloon.
This is what I have on Annie and William:
[BNL 9 Apr 1830]
At Lurgan, on the 29th ultime, the Lady of Mr. John Gilbert, of a daughter.
[BNL 20 Nov 1849]
Nov. 16, in Lurgan Church, by the Rev. CHarles Faloon, Ann, eldest daughter of John Gilbert, Esq., to Mr Wm Paul, of the firm of Paul & Co, both of Lurgan.
William Wentworth Paul went bankrupt in 1862, along with his brother John Thomas Paul. He absconded to British Columbia (c1862) and they moved to the US in about 1870, I think (see below).
1880 US Census
William W Paul and Annie Paul living in New York City with a ?James Johnson (aged 39). William aged 59, Annie 50. Birth places Ireland across the board for Annie and William, which fits. He's a clerk.
1900 US Census???
William W Paul and Annie Paul living in Manhattan, New York. Birth places Ireland across the board, which fits. DoBs 1828 and 1835 which is a bit out. Immigration in 1855 which is definitely wrong. Could be lying? Why? He's a clerk (dry goods).
New York Times, 18 Dec 1906:
PAUL: On Dec. 16, at his late residence, 109 West 132d St. Funeral private. Interment at Greenwood.
[According to the Green-Wood burial search he was buried in March 1907. Why the delay? Was he moved? Buried in lot 32534 along with wife Annie (Gilbert) Paul.]
1910 US Census
Annie living in Brooklyn with Rutherfords. Widow. Immigration 1860.
1920 US Census
Annie living with her sister Sarah and brother-in-law John Rutherford in Brooklyn, New York in 1920. Year of immigration to the US given as 1870. Newspaper reports say William Wentworth Paul went to British Columbia in about 1862 - so did they live in Canada for 8 years before moving?
The Brooklyn Daily Eagle, New York, 7 Jun 1925
PAUL: Suddenly, on June 6, at her home, 231 Hancock st., in her 95th year, Annie Gilbert, widow of William Wentworth Paul. Funeral private.
Anything else you can add? Or anything else you'd like to know that I might know?