Gallinat (Gallinatis)

I am researching the name Gallinat (or Gallinatis) from Mehlkemen, Stalupoenen, Ostpreussen, Preussen.

I have a Jewa Gallinat who married Jerkmons Dalista in 1796, according to the IGI.

I also find Gallinats in Italy. Does anyone know the origins of the name Gallinat and/or was there a migration of Italians to this region in 1700?