My surname is very common in the Scottish borders where my father's family were from, but very uncommon in Hampshire where I lived for many years. Although it's a short name, I usually had to spell it for people. Then I ended up working in Edinburgh and on day one, I went to the reception desk at the office. Hello, my name is ..., that's xxxx. The man behind the desk looked at me and said "We know how to spell here".
I found myself working in an environment where several people had the same names as me.
As well as 'Milne', a lot of names here end in 'ie' - Cowie, Lovie, Hosie, Cassie, Howie etc..
A quick aside... I notice that in the US, you seem to say "named for" while we say "named after".