Lets start with what we know:
1901 Census
28 First Avenue, Wigan
John Ths Birch, Head, Mar, 35, Core Maker Iron Foundry, Bolton
Ellen, Wife, Mar, 35, Lancashire Sharples
Annie, Daur, 10, Lancashire Bolton
Frederick, 6, Lancashire Wigan
Nellie, Daur, 3, Lancashire Wigan
Alice, Daur, 1 month, Lancashire Wigan
Frederick, Nellie and Alice are all shown as having the mothers maiden name of Hart on
www.lancashirebmd.org.ukI
wonder if sister Nellie was known as Ella in later times? Forget that one - there is a birth registered on the above site I posted of an Ella Margarete Birch in 1904 with the mothers maiden name of Hart so it definitely looks like the correct family.
You will probably find Frederick on the next census with the surname transcribed as Brick.
Mo