I can only find the youngest, Susan mmn recorded as Luck, but I think it must be her. Probably never got the others registered.
If Francis was away from home on 1st June 1841 working elsewhere, he might have been away several months and John wasn't his and she never got him baptised. Or she went elsewhere for the birth and baptism and returned to Takeley later and John thought he must have been born there. He is consistently born Takeley from 1861 to 1911. In 1861 he was single and living with parents so presumably Francis would have filled in the census form. Francis was baptised in Broxted so I assume born there, so the other birthplaces could be suspect in 1861.
added
just checked Francis and Susan's marriage record and the Clerk has written Lucking otherwise Luck. She made her mark so we don't know what she actually called herself