Looks like we've got a Henry Cook born Rogate Sussex/Hants circa 1829, married to Sarah, possibly from Notts or Kent(EDIT - per the 1901 census she was born Capel, Kent). Children born in India are
Arthur Cook born Ahmednaggar circa 1860
Cartherine Harriet Cook born Mhow 23 November 1863 (per familysearch.org)
Henry & Sarah are back in England by 1865/6 when next child is born in Woking.
He is a watchman in Battersea in the 1871 census and a brewery engine driver in Stoke by Guildford in 1881