 The castle is within the registration county of Stirlingshire, although it is only north of Milngavie, East Dunbartonshire, on the northern outskirts of Greater Glasgow.The lands of Mugdock were a property of the Grahams from the mid-13th century, when David de Graham of Dundaff acquired them from the Earl of Lennox.It is possible that the castle was built by his descendant, Sir David de Graham (d. 1376), or by his son in 1372.