Looks likely.
1881 census, 86 Boundary St, Liverpool
Patrick SAUL, Head, Widower, 36, Dock labourer, Ireland
Thomas, son, 15, Scholar, Ireland
Mary, dau, 11, Scholar, Liverpool
James, son, 8, Scholar, Liverpool

1871 census, 231 Atholl St, Liverpool
Patrick SAUL, head, mar, 32, Coalheaver, Ireland
Mary A, wife, mar, 28, Ireland
Thomas, son, 5, Scholar, Ireland
Mary J, dau, 8 mths, Liverpool
Julia GALE, visitor, Unm, 35, Domestic servant, Ireland