Hello and welcome

Lancashire BMD
http://www.lancashirebmd.org.uk/index.php shows several possible births and some deaths for the children.
1865 Mary Ann and Michael with McGill
1868 Daniel - McGill
1869 Elizabeth - McGuill
1871 census
1871 4174/14/21 has
Bridget Tearn 31 yrs b Ireland
Catherine Tearn 11 yrs b Ireland
Elizabeth Tearn 2 yrs b Preston
Boarding in Blackburn.
There is a McGuire family boarding too - not McGuill though.
I wonder if these are your family?
Heywood
Sorry I keep adding to this
Both women are Brush Hawkers