Heya! I'm an Annison from Norfolk...
I'm happy to share what information I have, if it's of any use to you, but I am also trying to trace my father's line backwards for medical reasons.
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My father is Ronald Philip Annison, my mother Linda Doreen Annison (nee Lansdale), still living in Costessey, Norwich.
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His father was Philip Annison (b maybe 23rd May of 1904 or 1905, d 26 Jan 1982) , married to Hilda Maud Annison (nee Nelson, b maybe June/July 1908 or 9, d 24 Dec 1992). They lived in Birdcage Row, Costessey, and 63 Richmond Rod, Costessey and lastly 148 Moore Avenue, Sprowston. He was a woodcarver and sometime poacher. (he also had another son, my uncle Richard Annison, who lives in Sprowston)
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Philip Annison's father was Albert Annison, who lived in Waterloo Road, Norwich, and he was the youngest of many.
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Hilda Maud Nelson (later Annison) was born to Charles Nelson and Emily Nelson, of Home Street, Norwich. I believe that she also came from a large family.
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I believe my great-grandparents were Albert Annison (who was also known as "Dutch", and was legendarily strong) and Elizabeth (aka Liz) but I was unable to track down any of their other children.
If you heve anything that would be of any help to me, I would much appreciate it, and it may be of real benefit to someone!