You say that their father is William Beecroft yet Pat indicates it is recorded as Jonah John. It is likely to be Josiah John Beecroft who married Alice Haydock in 1896.

1901 census at 29 Baines Street Blackburn:-

Josiah J Beecroft 31 Iron Moulder Barrow in Furness
Alice 28 Blackburn
Sarah 2
William 1

You may be interested to know that the sister of Josiah, Myra Beecroft, married James P Rainford and came to live and die in Andreas.

Len Faragher