I don't know if we have a connection but I have a family called Berry. My particular interest is Eliza born 1855 in Flamborough (I have birth certificate) daughter of John and Alice Berry.
There were 2 daughters called Ann, one christened in April 1842 and the second christened November 1843, I assume the first Ann died. If this is your family there are several more entries for them on the IGI.
Bee
Logged
Dinsdale, Ellis, Gee, Goldsmith,Green,Hawks,Holmes, Lacey, Longhorn, Pickersgill, Quantrill,Tuthill, Tuttle & Walker, in E & W Yorks, Lincs, Norfolk & Suffolk. Census information is Crown Copyright from www.nationalarchives.gov.uk
It does look likely that we may have a connection - but it I will be sending for the marriage certificate of James Allcock to Ann Berry to confirm that John is her father given the slight differences in her ages recorded on the various censuses.