[1] In 1728, he inherited the substantial estates of his uncle Sir William Blackett, 2nd Baronet, at Cambo and Allendale, Northumberland, on condition that he married Elizabeth Orde (his uncle's natural daughter) within twelve months and adopted the name and coat of arms of Blackett.
He settled at Cambo, where he expended considerable sums on the improvement of Wallington Hall, remodelling in the then fashionable Palladian style to designs by architect Daniel Garrett.
His wife died on 21 September 1759, and was buried 6 days later at St Nicholas's, Newcastle.
[1] His only daughter, Elizabeth, died young,[8] and on his death in London aged 69 on 14 February 1777 the Calverley baronetcy became extinct.
[9] Sir Walter's own estates, including Wallington, which he had purchased outright, passed to the Trevelyan family into which his sister Julia had married.