Hi Wayne
Hmmm. I'm a bit worried that Emma is not with them in 1861 or 1871, and her father William is still an Ag Lab.
1861 RG9/1019/89/28
Parish House, Cottenham, CambridgeshireWilliam Pierson, head, 51, Ag Lab, b. Cottenham
Ann Pierson, wife, 46, b. Histon
William Pierson, son, 17, Ag Lab, b. Cottenham
Hannah Pierson, dau, 13, work in field, b. Cottenham
George Pierson, son, 11, farmers boy, b. Cottenham
John Pierson, son, 8, scholar, b. Cottenham
Alfred Pierson, son, 5, scholar, b. Cottenham
Eliza Pierson, dau, 3, scholar, b. Cottenham
Henry Pierson, son, 1, b. Cottenham
1871 RG10/1580/53/ 27 (all transcribed as
Kirson)
Little London, Cottenham, CambridgeshireWilliam Pierson, head, 58, Ag Lab, b. Cottenham
Anne Pierson, wife, 55, b. Cottenham
John Pierson, son, 18, Ag Lab, b. Cottenham
Eliza Pierson, dau, 13, b. Cottenham
Henry Pierson, son, 11, scholar, b. Cottenham
George Pierson, son, widr, 21, Ag Lab, b. Cottenham
Henry Pierson, grandson, 2mths, b. Rampton, Cambs
It may be that the family wrote their name as Pierson, but census enumerators, registrars and others could well write it as the more common Pearson - I bet they still get it wrong!!
Have you found your Emma on the 1881 census? Perhaps it would be better to work backwards from there - what is her age and birthplace?
Incidentally, in 1861 I found a William Pierson, born Marylebone 1785, lodging by himself in Holy Trinity, Cambridge (town of). He was a shoemaker - trouble is he is written down as unmarried!! The further problem is that I can't locate him in the 1841/1851 censuses.
Cheers
Koromo