I am descended from Bridget Kilmurray who was born at Clonkeen, Carbury, Edenderry on 24th November 1869.Bridget was the daughter of Edward and Mary (nee Hines) who were married at Derinturn, Carbury, Edenderry Co Kildare, on 23rd February 1868.
When Bridget was a small child, the family moved to Newton Heath, Manchester, England where the other siblings were born.On the 1881 census as prepared by the LDS church there is a transcription error and the family appear as ‘KELMURRAY’.I have checked the original records and they are definitely Kilmurrays.
The other siblings, with ages in 1881 are John E 9 Mary E 7 Ann 5 James 2 Thomas 5 months
The only other substantial Kilmurray family on the 1881 census is that at Billinge near Wigan, namely with ages Richard 38 from Kings County, Ireland Mary 35 John 14 William 12 Bridget 10 James 8 Mary 4 Margaret1
With the common family names between the two families, I have long suspected the fathers were brothers (or cousins) but I have yet to establish this link.
I suspect you are descended from this second Kilmurray family.