Just some musings.
I've found a copy of Hannah Pickering's marr cert (to Joseph Foster, in Shackerstone, in 1851). Hannah said she was 23, and father's name was William Pickering.
In the 1851 and 1861 censuses, William says his birthplace was Hugglescote; Ann's was Coleorton. William's age does vary quite a lot but Ann was older than he was (allegedly) in the 1851 and 61 censuses; and the age was supposed to be more exact in these than in the 1841 census.
With the variation in William's age, it's difficult to search for a baptism, but there isn't one in Hugglescote that's immediately leaping out at me.
I can't find William, Hannah or Mary Ann's baptisms.
Particularly with Ann being older than William, I wonder if they were not actually William's children but his stepchildren, and were therefore baptised under a different name. Maybe Ann was a widow, and brought the children with her into her new marriage? Or maybe she was still married, so never actually married William in the first place? Stranger things have happened.
Cancel that! I've found them!
29 June 1828 - Hannah PICKERING at Normanton le Heath
27 June 1830 - William PICKREN
18 Mar 1832 - Mary PICKREN
1 May 1836 - Elizabeth PICKRIN
25 March 1838 - Elizabeth PICKERING
---- all at Shackerstone, except for Hannah. All to William by his wife Ann. William a labourer, abode Shackerstone.
I think the ages on the 1841 were wishful thinking.
The GRO index suggests a MMN of Jacques for the birth of Elizabeth PICKRING in the Market Bosworth district in the right quarter of 1838.