 His proposers were Rev James Finlayson, Rev Robert Hamilton and John Playfair.Meek died at Cambuslang manse on 21 June 1810 and was succeeded by his assistant, the Rev John Robertson.He married Grizel (Girsy) Weir (1745-1815) of Lesmahagow on 7 February 1770 in the Parish Church there, and had two sons (John, who died at 19, and Thomas, a lawyer in Glasgow, who died at 41) and two daughters (Elizabeth, who married a lawyer, James Davidson, and who died aged 25, and Frances, later Stuart, who died at 88 in 1867).