We could be related, but the one's I'm looking at in 1871 are:
Michael Lanigan, 48, b.1833
Mary, 57, b.1824
Hannah, 17, b.1854
John, 13, b.1858
Catherine, 18, b.1853
Sarah A, 7, b.1864
They would have had a daughter Alice also, who would have been about 21 in 1871.