 The school, then known as the Old Grammar School of Hamilton (not to be confused with the present Hamilton Grammar School), stood near the churchyard adjoining Hamilton Palace until, in 1714, Anne, 3rd Duchess of Hamilton, great-granddaughter of the Founder, re-located the school to a new building on the newly named Grammar School Square also in the lower part of the town, and presented this to the Town Council of Hamilton.The "Statistical Account of Lanarkshire" of 1835 notes of this school building that it "is a venerable pile, near the centre of the town, containing a long wainscotted hall, emblazoned with the names of former scholars, cut out in the wood, as at Harrow.