Writing Letter to Germany

My gg grandfather Hugo Hoffbauer was born in Ludershausen Germany in 1836.
I know his fathers name (Frederick Hoffbauer) and mother maiden name
(Schniedewind) along with both of their birthdates.

I know his grandfather (Johann Hoffbauer) and grandmothers name (Caroline
Scheel) on his fathers side.

My questions are: If I write to Ludershausen and ask them to locate the
marriage record on Frederick and his wife will they be able to tell me the
name of her father?

Also if Frederick was born in Denmark and his father was a surgeon for the
Danish Military, what would they be doing in Germany. And isn't Hoffbauer a
German name not Danish?

Thanks for any help. Mary