Been out and come back again.
Sorry I've had no success. It could be due to a number of reasons, bad transcription (they could have been dittoed down from a family above with a different name), bad handwriting, torn pages or now you've confirmed something that was nagging in my mind, that Emma and children may have left George and could even be listed under a different name, I did look at Whites in the index but nothing appears to stand out as being possibles, except a George aged 4, correct birthplace, living in Patriot Street with his grandparents George and Mary Smith, but no Emma with him, mother or sister. RG9/277; Folio: 59; Page: 32 - highly unlikely to be calling himself White if he was with grandparents but was clutching at straws and you never know could have been successful if all three were there together.
I certainly don't believe Emma was married to Richard Petley before the 1871 census, probably was known by that name though to save face, especially with the baby.
Now you have confirmed that you don't think George died, I think this would be him in the 1871 census.
71 Thurlow Street, St Mary Newington
John (Candlemaker) and Emma Cripps and their children
George Ayrton Boarder 45 Candlemaker Bermondsey Surrey
RG10/ 617; Folio: 87; Page: 36
I now have cross eyes