Andrew,You are very welcome.Could this be a possibility for Annie and John's mother?
Pennsylvania Marriage, 1709-1940
Groom-James Rodgers Bride-Sarah Anna Elliston Marriage Date-June 19, 1891 Pittsburgh, Allegheny County, Pennsylvania
1900 census for Allegheny City Ward 4, Allegheny County, Pennsylvania James Rodgers-age 38-born Nov. 1861-married 18 years-born England-parents born England-came to US in 1890-is a engineer. Anna Rodgers-age 36-born May 1863-married 18 years-born England-parents born England-she has 2 children-came to US in 1890. Elizabeth Rodgers-age 17-born May 1883 in England. John Rodgers-age 15-Born February 1885 in England-works as a clerk in dry goods.
1910 census for Ward 20, Allegheny County, PA James Rogers-age 48-born England Sarah A. Rogers-wife-age 46-born England John Rogers-son-age 25-born England Sarah Macken-mother-in-law-age 66-born England