William & Mary Ann on the 1911 census:
https://www.familysearch.org/ark:/61903/1:1:XW8W-2CXMary Ann gives her place of birth as Croydon, Surrey, with an estimated birth year of 1872.
They are living with their children:
Lilly (born c.1892) in Croydon, Surrey
William (born c.1894) in Woking, Surrey
Thomas (born c.1905) in Woking, Surrey
Earnest (born c.1910) in Woking, Surrey
Finding the birth registrations of these children is a little difficult, as there don't appear to be any that fit in Surrey?
Are you sure that Mary Ann was a Baker?
There is this possible for Ernest in Hampshire:
KING, ERNEST BAKER
GRO Reference: 1909 D Quarter in HARTLEY WINTNEY Volume 02C Page 197
And a corresponding baptism in Crookham which gives his parents as William & Mary King, father's occupation: traveller.
There is a marriage between a William John King and a Mary Ann Baker in 1891 in Alton R.D., Hampshire.
Does this sound possible?
Queenie