The arms are those of Rothschild.
Baron Lionel Nathan de Rothschild was the eldest son of Nathan Mayer Rothschild (1777-1836), founder of the British branch of the banking dynasty. Lionel was born in England and attended the University of Göttingen. In 1828 he started work at Rothschild's and in 1836 in Frankfurt he married Charlotte, the daughter of his uncle, the Baron Carl Mayer de Rothschild (1788-1855). After the death of his father, Lionel took control of the London business at the age of twenty-eight. In addition to his business interests, Lionel Rothschild was active in politics, holding a seat in the House of Commons from 1858-1874. Both he and his wife, a noted hostess, were renowned for their great philanthropy.
Based on the numbers inscribed on these coasters, the entire set would have comprised at least ten pieces. Coasters numbered 4 and 5 from this set sold Sotheby's, London, 12 November 1970, lot 263 and are illustrated in Timothy Schroder, The Gilbert Collection of Gold and Silver, 1988, no. 129, pp. 477-479. Schroder notes that a tray with the same elaborate coat-of-arms by Storr and Mortimer, 1842, sold Sotheby's London, 27 July 1967, lot 100A
Lionel Nathan de Rothschild by Moritz Daniel Oppenheim, Courtesy of the National Portrait Gallery, London