As best I've found, there is only one U.S. Remeschatis (extended) family, all descended from Family:Carl Remeschatis and Matilda Bartels (1) who emigrated to the U.S. in 1871 from Germany. I have not found the name in present-day records in any other country (including Germany). The name's origin and meaning remain mysterious; I'd welcome any insights into its possible origins.
My grandfather Remeschatis said his family was from Place:Alsace-Lorraine, France, but I have found evidence that this is more likely his maternal family. Person:Carl Remeschatis (1), the immigrant, is reported to have been born in Place:Neustrelitz, Mecklenburg-Strelitz, Germany, and the one earlier Remeschatus (note alternate spelling) I have found, Johan, is born in Rostock in 1792. He's listed in the 1819 Mecklenburg-Schwerin Census in Rostock. His occupation is "hautboist," a musician playing a woodwind instrument, probably similar to the modern oboe, but possibly a flute or even some other instrument, if he was a musician for a military regiment. See From Renaissance to Baroque, p. 149-150.
My guess for the surname Remeschatis (since I can't a proper reference either), is a latinized version of the town Remscheid. By the way, I can find no references to schatz=heart. The German word Schatz means a valuable thing, ie. treasure, darling, money hoard, etc. --Bgwiehle 12:43, 25 January 2010 (EST)