BINGO!!
In 1911 Helena (aged 47, born in Singapore) is shown as a widow living in Bedford with Laura Florence, Frederick and a previously unknown sibling, a son, Cedric Stansmore Baker, born in 1898 in Bedford, England.
I can't find an English death record for William Henry, so my guess is that he died in India before Cedric was born (timing seems very unfortunate or maybe there is some gossip there) or that they all returned and I simply have not found his English death record.