In the United States, the Trump Organization took Mr. Davies’s coat of arms for its own, making one small adjustment — replacing the word “Integritas,” Latin for integrity, with “Trump.” Joseph D. Tydings, a Democrat and former United States senator from Maryland who is the grandson of Mr. Davies, learned that Mr. Trump was using the emblem, at least at Mar-a-Lago, when he visited the property. “A coat of arms that was originally granted to Joseph Edward Davies in 1939 by the English heraldic authority ended up being used 10 or 15 years ago by the Trump Organization as part of its branding for its golf clubs,” said Mr. Cheesman, a lawyer by training.