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Here's the distribution of known Gottses in 1881 using Harry Wyke's wonderful graph. You can save it and print it for even more clarity.
Norfolk, London and Yorkshire are the top counties.
Here's my 1881 list with their references added. .
Could be listed as Gott or Goths or Golts or Gatts or Cotts There are some variations on the name Gotts, eg Gott in Yorkshire and the North-east. Other variations I have found are:
Cottes Cotts Gatt Gatts Golls Gotch Golts Golty Goltz Goths
Gots Gott Gottes Gotz Potts