There are these births in Tonbridge - children perhaps?
Arthur John Redman December quarter 1871
George Edward Redman September quarter 1874
William Redman December quarter 1879
There are deaths in 1878 and 1879 for John and Mary.
Ancestry has baptisms Arthur John Redman 5 Nov 1871 Speldhurst Kent, parents John and Mary
George Edward Redman 2 Aug 1874 Speldhurst Kent parents John and Mary.
William is the odd one. John's death was registered Sept quarter 1878, so the latest he could have died was 30 Sept if registered same day. And if a child was conceived earlier that same morning, it would have been born early July 1879. So the birth would be registered Sept quarter. But William's birth was registered in the December quarter.
There is a baptism for a William Redman 29 Feb 1880 at Tunbridge Wells father John mother not mentioned. The name has been transcribed as William John Redman Redman (surname duplicated).
Unfortunately no images of records only transcriptions.