Aduzze was a fairly common variant of Aduze.
Aduze and the diminutive forms Aduzele, Aduzike and Aduzyte are mentioned in
Friedrich Kurschat's 1870/1883 German-Lithuanian dictionary "Wörterbuch der Littauischen Sprache" (there is a digitalized version online if you like to check).
Unfortunately, Kurschat doesn't mention the meaning of the name, except for stating that Aduzele, Aduzike and Aduzyte mean "little Aduze" (and thus confirming their diminutive status).
19th-/20th-century linguist
Aleksandras Kuršaitis (also known as
Alexander Kurschat) mentions Aduze as well. He considers this name a diminutive of
Adele, Adelis, etc.
Less reliable but equally plausible and certainly worth further investigation: some (amateur ?) genealogists* have put forth the theory that Aduze/Aduzze might have been a diminutive of names beginning with the Germanic element "adal" in general (including but not limited to
Adele). From what I have read, they noticed that one and the same woman was occasionally listed as Aduze/Aduzze/etc. in one document and as
Adele in others - while other Aduzzes/Aduzes appeared as
Adelheid or
Ada or Adelinde or
Adelina, etc. respectively.
* No, not me ;)