A quick search brings up the following.
Irene E Parchment
Born 1912 in Hackney, London
She had a sister, Lily Doris born 1903.
Lily has been very interesting to look for.
After the 1911 census, two things come up.
A marriage in 1964 and a listing in the teachers registration council in 1928.
Lily Doris claims to have been assistant mistress at Cherry Grove Boys School between 1921 and 1923.
Her next relevant teaching experience isn't until 1927 in West London.
I can't find Lily Doris on the electoral roll. There is a listing however for Lily Louise Parchment in Cheshire between 1920 and 1925.
She's going to take some work.
Their parents were:
Arthur Walter
Born 1878 in Bethnal Green, London.
Died 1927 in Pancras London
(Arthur's occupation listed as 'Railway Clerk' and later 'Telegraphist Railway')
Lily Louisa Davis
Born 1880 Stepney, London
Died 1954 Hackney, London
The 1939 Census lists her as a widow living with George and Violet Herbert in Hackney.
I'm guessing Violet is her sister.
Arthur had a brother, Henry
Born 1881 in Middlesex.
Died 1964 in Stepney
There's a record of Henry J Parchment marrying Eliza Easterbrook in 1904.
However, in the 1911 census, Henry's wife is stated as Louisa and they have 3 children
Louisa 1908
Rosie 1909
Emily 1911
The 39 census lists him as married but there's no record of Eliza or Louisa. Instead there's a Rachel Parchment born 1881 and married.
In the 39 Census his son is recorded as living with him.
Henry A 1913
Would need to spend some more time looking at Henry!
Arthur and Henry's parents are
Henry Parchment
Born 1857 in Middlesex
Died 1928 Sudbury, Suffolk
Laura
Born 1859 in Sudbury, Suffolk.
Unsure of death.
There is a death recorded in Chelsea of a Laura Parchment born 1957.
Hope this helps,
James