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Last name origins & meanings:

1. North German (Westphalian): habitational name for someone working or living at a farm named with Middle Low German sāt ‘seed’ + hof ‘farmstead’.
2. North German (Westphalian): status name for someone whose holding (Middle Low German sate, ‘sāt’ ‘settlement’, ‘land’) extended to one Hufe, an old measure of land.