The nearest I can find in 1881 is:
Douglas, district 8, entry 27, 2 Seneschal Lane
Mary Mc Avoy, head, widow, 48, hawker, Ireland
Rose, daughter, unmarried, 16, scholar, Ireland
Stephen, son, 12, scholar, Douglas
John, son, 9, scholar, Douglas
Owen, son, 7, scholar, Douglas
George, son, 5, scholar, Douglas

Even though Stephen's birth place is given as Douglas, I can not find the family in the 1871 census.