Bingo S
I think this is them, a bad census to read. not sure about some of the info. . His daughter Sarah Jane could give a link to the Joseph I found on the IGI, his mother was Sarah.
1851 HO107/2231/320/19
Living
? St, Newton, Lancashire
Joseph Gibson 31 Mechanic B. Salford
Eliza wife 29
?? B . Derbyshire
Emma dau 3 b Manchester
Sarah Jane dau 1 b Newton.
(Although wife shown as Eliza in 1851 she is Elizabeth in 1861 which is correct).
If this is your family the GRO's own birth index shows that the maiden name of the mother of both Emma and Sarah Jane is
Marples.
Joseph Gibson, mechanic, of 2 Marland Street, son of Charles Gibson, mechanic, married Elizabeth Marples, of 29 Watson Street, dau. of John Marples, confectioner on 16/4/1843 Manchester (Cathedral).
In 1841 Joseph Gibson 20, mechanic, is in Manchester living with a James Greenhouse and family.
Joseph Gibson b.23/7/1819, bp.12/1/1823 Manchester, St. Mary, Mulberry St. (Roman Catholic) son of Charles Gibson and Elizabeth Cowkwell. Three siblings also baptised same day:
Elizabeth born 18/2/1815
John born 2/1/1817
Mary Ann born 18/11/1822
A Charles Gibson bc.1780 buried 13/7/1841 Manchester Cathedral which could possibly be the father.
Annette