I found the family on the censuses and will post them here for others to refer to.
1860 Millville Borough, Johnstown PO, Cambria County
Thomas Jones, 24, iron roller, Wales, $30 PE, cannot read or write
Mary Jones, 21, Wales
Mary A Jones, 2, born in Pennsylvania
Elizabeth Jones, 1, born in Pennsylvania
David Jones, 1 day, born in Pennsylvania
Hannah Jones, 15, Wales, domestic worker
https://www.familysearch.org/ark:/61903/1:1:MXPJ-N5G----------
1870 McClure Township, Dixmont PO. Allegheny County
Thomas Jones, 45, Wales, works in rolling mill, male citizen
Mary Jones, 33, Wales
Thomas Jones, 5, born in Pennsylvania
Sophia Jones, 1, born in Pennsylvania
https://www.familysearch.org/ark:/61903/1:1:MZLW-GRZ----------
1880 Apollo, Armstrong County
Thomas W Jones, 43, Wales, puddler, cannot read or write
Mary Jones, 42, Wales
Thomas Jones, 15, born in Pennsylvania
Sophia Jones, 11, born in Pennsylvania
Mary Jones, 9, born in Pennsylvania
Willie Jones, 7, born in Pennsylvania
George W Jones, 5, Pennsylvania
Samuel Jones, 1, born in Pennsylvania
https://www.familysearch.org/ark:/61903/1:1:MW6P-6BP----------
1900 Carnegie Borough, Allegheny County
Mary Jones, December 1835, Wales, widowed, 19 children, 7 alive, owns the home, free of mortgage
Mary Jones, Jan 1876,
John Jones, Jan 1883,
https://www.familysearch.org/ark:/61903/1:1:M3MS-QBZ---------
Mary's obituary in the Pittsburgh Press mentions these children, George W's marriage record in Indiana says he was born in Armstrong County, etc., etc., so this family all ties together. I wondered what happened to the 3 children on the 1860 census, but Mary said in 1900 that she had 19 children of whom only 7 were alive. And Thomas' occupation is consistent throughout the years.
Only that findagrave says he died in Allegheny County, not Tioga County, which lines up with Mary's obituary which said she arrived in Carnegie Borough, Allegheny Co, about 1885.