That is just the index - you need to purchase the cert of view a PR to see who her father was named as.
In 1861 census she gives her place of birth as Chesham, Bucks. Where did you get Bedfordshire from?
1861
Common Rd, Wigginton, Hertfordshire
John Turney 30 straw plaiter bn Wigginton Herts
Margaret 24 bn Chesham Bucks
Edey 6
George 3
James 1 all children bn Wiggington