This could be Julia, her mother and siblings in 1851, no father but eldest brother called Daniel - this Julia is a bit too old though.
1851 CENSUS OF DOWLAIS
Piece: 2459 Folio: 206 Schedule: 221
Address: ATKINS COURT
MACARTHY DANIEL, Head U 27 LABOURER, IRL
MACARTHY PATRICK Brother U 25, LABOURER, IRL
MACARTHY ELLEN Sister U 22 IRL, Cork
MACARTHY JULIA Sister U 17 IRL, Cork
MACARTHY MARY Sister U 12 IRL, Cork
MACARTHY JULIA Mother W 50 IRL, Cork
MAHONEY JEREMIAH Lodger U 30 LABOURER IRL, Cork
FLING HUGH Lodger U 24 LABOURER IRL, Cork
CANTY PATRICK Lodger U 23 LABOURER IRL, Cork
What at the names of the siblings of the family you have in 1861? It might be easier to find a match then.
Regards
Caro