There have been two baronetcies created for members of the Cust family, one in the Baronetage of England and one in the Baronetage of the United Kingdom.
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The Cust Baronetcy, of Stamford in the County of Lincoln, was created in the Baronetage of England on 29 September 1677 for Richard Cust. The fourth holder of this creation was elevated to the peerage as Baron Brownlow in 1776 (see this title for more information).
The Cust Baronetcy, of Leasowe Castle in the County of Chester, was created in the Baronetage of the United Kingdom on 26 February 1876 for Sir Edward Cust, Kt., KCH. He was the younger son of Brownlow Cust, 1st Baron Brownlow, and had earlier represented Grantham and Lostwithiel in the House of Commons. The title became extinct on the death of the first Baronet's grandson, the third Baronet, in 1931.