Acording to the Scottish War Memorials Project this is the War Memorial for Cranstoun and Pathhead.

It lies apparently in the middle of nowhere at the junction of the A 68 and A 6093 just north of Pathhead, East Lothian.

The front bears the First World War names. On the sides are the names for WW2.

This side – unusually for a War Memorial – bears the name of a woman, Lucy Walker.