Sir Richard Graham, 1st Baronet of Esk (c. 1583 - 28 January 1654) was an English politician elected to the House of Commons (1626 to 1629).
Sir Thomas Musgrave of Cumcatch and Susannah Thwaites Graham's eldest son and heir was Sir George Graham (~1625-1658), 2nd Baronet of Esk and Netherby; he married Lady Mary (Johnstone), the daughter of James Johnstone, 1st Earl of Hartfell, and Lady Margaret (Douglas); and younger son, Sir Richard Graham (1635-1711), became 1st Baronet of Norton Conyers, married Lady Elizabeth Fortescue, daughter of Col. Sir Chichester Fortescue and Lady Elizabeth (Slingsby).
On 18 February 1623 he set out with Buckingham and Prince Charles, who assumed the names Tom and James Smith to travel incognito to Madrid to meet the Infanta, an expedition known as the Spanish Match.
He was re-elected MP for Carlisle in 1628 and sat until 1629, at which time King Charles decided to rule without parliament, for eleven years.
Lady Catherine died 23 March 1650 and is buried at Wath Upon Dearne in Yorkshire.