Admiral Yarnell was elected an honorary member of the Rhode Island Society of the Sons of the Revolution on February 22, 1940.
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He was a member of many organizations including the Freemasons, Knights Templar, the Society of the Cincinnati, Sons of the Revolution, Sons of the American Revolution, Society of Colonial Wars, Veterans of Foreign Wars, American Legion and the Military Order of the World Wars.
He was a member of the General Society of Colonial Wars, the Sons of the Revolution, Saint Nicholas Society in the City of New York, The Huguenot Society of America, Society of the Cincinnati, National Geographic and other societies, and of the University Club of Brooklyn, New York, and the Westminster Club of England.