Huttner/Huettner/Hittner/Hitner

I am seeking information on the above names. My great great grandparents,
Albert and Sophia Louisa Hittner came from Hannover between 1840 and 1843. I
suspect that a government employee somewhere along the line may have written
their name phonetically and the surname was actually Huttner or Huettner. Any
and all information would be appreciated, but my primary goal is to find out
where in the Kingdom of Hannover they came from.
Beverlee Stuart-Borok