They married in 1885 according to the 1900 census.
This is the 1881 for Agnes, Ellen, and John:
RAMSDEN, Helen Head Married F 57 1824 Laundress Scotland. RAMSDEN, Agnes Daughter Single F 19 1862 Cotton Twister Ashton Under Lyne, Lancashire RAMSDEN, Emily Daughter Single F 13 1868 Nurse Girl Ashton U Lyne, Lancashire. RAMSDEN, John Son Single M 17 1864 Cotton Cops Packer Ashton U Lyne, Lancashire GREAVES, Nicholas Mother Widow F 83 1798 Scotland.
This could be your John Simpson Arnold born Dec quarter 1854Barnsley Vol 9c Page 120:
1881 Census: RG11 Piece:4608Folio:130 Page:57 Up Hoyland, Nether Hoyland, Barnsley.
ARNOLD, Wm Head Married M 56 1825 Coal Miner Hoyland,Yorkshire. ARNOLD, Sarah Wife Married F 52 1829 Tankersley, Yorkshire. ARNOLD, Annie E Daughter Single F 12 1869 Scholar Hoyland, Yorkshire. ARNOLD, John S Son Single M 26 1855 Coal Miner Hoyland, Yorkshire
A John Arnold arrived USA aboard the "Wyoming" on 18 September 1883 aged 27 stated as Clerk