William's great-grandson, Robert Shaw sr., moved to Dublin in the mid-18th century, prospered as a merchant and became Accountant General of the Post Office.
On 7 January 1796 Robert junior married Maria, daughter and heiress of Abraham Wilkinson, and as a dowry received £10,000 together with a 110-acre (0.45 km2) estate, Bushy Park (possibly named after Bushy Park in Teddington) which adjoined Terenure House.
He was created a baronet (i.e. becoming Sir Robert) on 17 August 1821, being formally invested by George IV when he visited Ireland in 1822.
Their surviving daughter Charlotte married Sir William MacMahon, 1st Baronet, Master of the Rolls in Ireland and had eight children.
On several occasions, Sir Robert proposed to Frances, but he was turned down each time In July 1834 he married Amelia Spencer at Twickenham Parish Church.