Grierson arrived in Dublin about 1703 and shortly afterwards set up a printing establishment, "The Sign of the Two Bibles" in Essex Street.
He set about printing large impressions of Bibles and Books of Common Prayer of different sorts and sizes.
In 1720 he was one of the churchwardens of the Church of St. John, Drumcondra, in the Registers of which the baptisms and burials of his children are entered.
'[2] Constantia played an important role in her husband's business and household, which included apprentices and journeymen as well as domestic servants.
Her husband emphasized her contributions in his successful petition to the Irish House of Commons in 1729 to be granted the patent for King's Printer: "the Editions corrected by her have been approved of, not only in this Kingdom, but in Great Britain, Holland and elsewhere, and the Art of Printing, through her care and assistance, has been brought to greater perfection than has been hitherto in this Kingdom.