Found this after a search for George ashington's pistols... doesn't say he carried them, but he had them during the War era.
Of the pistols, one pair of matched flintlock pistols had once belonged to George Washington and was bought from the estate of Bartholomew Dandridge, former Private Secretary to George Washington. They were 14 inches long, with brass barrel, full-length walnut stock and seven solid silver inlays, including a grotesque mask on the butt; a rolled edge and engraved trigger guard; a panoply of arms on the cut-out side plates which show cannon, flags, drums, pole arms, a lion, and a unicorn.
Richard Wilson and John Hawkins, London, gun makers made the pistols in 1748. Thomas Turner, whose grandfather had known Washington as a youth, gave the pistols to Washington in 1778. The pistols remained in Washington's possession during much of the Revolutionary War. Before he died, Washington gave the pistols to Bartholomew Dandridge, his wife's nephew and his secretary for six years. Dandridge survived only a few years after Washington's death, and, after his death, Philip purchased the pistols.
In 1902 the pistols were sold to an antique arms dealer, Francis Bannerman at an estate auction near Warrenton, VA. In 1914 the pistols were sold to collector Edward Litchfield. In 1951 the Litchfield collection was sold to Clendennin Ryan. In 1953, he presented them to the U.S. Military Academy at West Point where they currently reside in the West Point Museum. In 1978, the U.S. Historical Society with headquarters in Richmond Virginia commissioned a limited edition of 975 pairs of commemorative replicas of the pistols, which were offered to the public for $2,600.
edited to add this, taken from a study f Washington's will...
22. Four pairs of pistols were found "in the Study" at Mount Vernon when the inventory of its contents was taken in 1800. The appraisers set a value of $50 on three of the pairs, and $50 on the fourth. The pair of pistols given to Lafayette was exhibited at the Chicago Exhibition in 1893 as one of the "Souvenirs Franco-Américain de La Guerre de Independance." They had been on permanent display in Lafayette's chateau de La Grange. It is possible that these were the pistols that were sent from Philadelphia to General Washington at West Point on 22 Sept. 1779, with these words: "General Washington: accepting of these Pistols will very much oblige Sir Your most obedient very humble Sevt George Geddes." On 30 Sept., in accepting the gift, Washington called them "a pair of very elegant Pistols." By leaving this or another of his pair of pistols to Lafayette, Washington may have been returning the compliment. In 1824 Congressman Charles Fenton Mercer presented Gen. Andrew Jackson with a pair of pistols which, he said, Washington wore during the Revolution and were the gift of Lafayette. Mercer had got the pistols from William Robinson, the son-in-law of Washington's nephew William Augustine Washington. See Prussing, Estate of George Washington, 417-18, Richard and Carol Simpson, "Andrew Jackson's Pistols," (The Gun Report, January 1985), and Andrew Jackson to Edward George Washington Butler, 20 Jan. 1824, in Sam B. Smith, Harriet Chappell, Owsley, et al., eds., The Papers of Andrew Jackson, 5:341-42.