It's interesting to compare the distribution of Garveys to that of the surnames of Jarvie and Garvie. The distributions of both names are shown in the figure below. It can be seen that there is almost no overlap with the distribution for Garvey. These families had a much different origin than the Garveys to the south. It's not known whether the Scottish Garvies had any historical connection to the Irish Garveys - but the Garvies have a history in Scotland stretching back to at least the 1400s. According to information on the Web, Garvie and Jarvie were associated with the Clan MacLean. The crest shown at right is that of the Garvies of Scotland.
The Garvie surname was not widely distributed in the countryside - in fact half of the 500 Garvies were in just four Scottish cities. The map of the distribution of Garvies in Perthshire shows that most of them were in or near the city of Perth. The map of the distribution of the Garvie surname in Angus shows most of the Garvies there were in or near Dundee. The Garvies in Lanarkshire were located near Glasgow (Govan, and Barony parishes). There were another 50 Garvies in the city of Edinburgh.
There were 900 Jarvies in Britain in 1881 - with half of them in Lanarkshire. The distribution of the Jarvie surname in Lanarkshire shows that the name was centered in the same northwestern corner of the county as was Garvie. This suggests the possibility that there may have been some connection between the names Jarvie and Garvie (or at least the Glasgow branch of Garvies). Another 25% of the Jarvies were in Stirlingshire.
Also see McGarvie and McGarva in the 1881 Census.
More information about the Garvie name can be found on The Clan MacLean Webpage, and Colin Garvie's Webpage.If someone knows the story behind the Jarvie/Garvie names, I'd love to hear it.