The Keating family are living in Elizabeth, New Jersey in the 1880 census.
Mrs Keaten, female, 33, born Ireland, parents both born Ireland
Addy male, 2, son, born New Jersey, parents both born Ireland
Catherine, female, 1 daughter, born New Jersey, parents both born Ireland
The children's births (father Terence Keating, Kating, mother Mary McCrank, McCronk, McCurk):
Adelaide, female, born 30 Aug 1877, bapt 1 Sept 1877 St Patrick, Elizabeth (mistakenly entered in the 1880 census as male)
Catherine Ann, female, born 4 Feb 1879, bapt 9 Feb 1879 St Patrick, Elizabeth
Terence Keating was born about 1839 in Ireland and died in Dec 1879, buried on 10 Dec in Mount Olivet Cemetery.
A report of his death:
Mr. Terence Keating, of Elizabeth, in climbing over a fence one evening last week, fell and his back was broken. He died of his injuries on Monday night. The deceased had long been a resident of Elizabeth, and was well known and respected.
[From the Friday, December 12, 1879 Trenton State Gazette, Volume: XXXIII, Issue: 295, Page: 2.]
I think this is Terence in 1870 but his wife's name is Kate, not Mary.
Tem (ie Terr) Katon, 30, moulder, born Ireland, parents both born Ireland
Kate Katon, 25, KH (keeping house), born Ireland, both parents born Ireland.
I can't find either of the children or their mother (who may have remarried) after 1880.
Jan