In the parish of Larkhall, to the south east of Glasgow, is a house and an area of land called Fairholm. According to Burke's Landed Gentry a junior branch of the Hamilton family has held land called Fairholm from at least 1492. The house is the seat of, what is now, the Stevenson-Hamilton family. It is situated close to a sharp bend of the Avonwater which is a tributary of the Clyde. In Scotland, the finger of land in such a bend is often called a haugh or holm, hence part of the name of the house and the estate.

If the land was not actually named by the Scandinavians then its name was the result of their influence on language in the area - probably linked to their trade route from Dublin toYork via the Clyde and Forth rivers. There are a few other Scandinavian based place-names south of Glasgow including the hamlets of Crookedholm and Greenholm. There are Fairholms or Fairholmes in Scotland today. It is possible that their ancestors had lived on the Fairholm estate and some families, perhaps not even related to each other, may have taken the name, as was sometimes the custom in Scotland. They had then moved to Edinburgh, which is where they are first found in parish records. However, this theory has not yet been substantiated.