There are plenty native English surnames that came about before spellings standardized leading to (in the case of my own) Metcalf, Metcalfe, Medcalfe, Medcalf,

There are plenty native English surnames that came about before spellings standardized leading to (in the case of my own) Metcalf, Metcalfe, Medcalfe, Medcalf, Midcalfe, Midcalf all being the same name. So even immigrants coming from places that have surnames can have lots of variety before taking into account there isn't always a single best way to write a name in the Latin script.