 The sixth Baronet married Catherine, sister and heiress of Sir Alexander Ramsay-Irvine, 6th and last Baronet, of Balmain (see Ramsay Baronets).Their second son Alexander Burnett succeeded to the Ramsay estates on his uncle's death in 1806 and assumed the surname of Ramsay in lieu of his patronymic.The same year the baronetcy of Balmain was revived in his favour.