Robert J.R. Beswick was born in Manchester on November 30, 1856 the son of Robert, a Spirits Merchant, and his wife Anne. Robert was christened on January 4, 1857 in Manchester Cathedral.

Robert had moved to Swindon by the mid 1870s when he was articled to another popular local architect W.H. Read and was in practice from about 1874. In 1884 he married Emilie Matilda Elliott, the daughter of John Elliott, a painter in the works.

During a prolific career he designed many landmark buildings in Swindon including the Mechanics Institute Reading Room at 158-9 Rodbourne Road. He also designed the Primitive Methodist Chapel which stood at the Clifton Street entrance to the cemetery, long since demolished and replaced by a modern property. He designed the Co-op premises in East Street and John Street and the Palace Cinema in Gorse Hill.

In 1911 Beswick, by then widowed, was living at a property in Westlecott Road called Kingswood, a house he designed himself. He lived there with his architect son Robert Frederick Beswick (the son who later died in India) and the two men were looked after by housekeeper Gertrude Woodward and a general domestic servant Alice Brinkworth.

Beswick died at the Cheriton Nursing Home on March 28, 1931. He left administration of his will to his only surviving son Alfred Edward Beswick, another architect. His effects were valued at £6,129 4s 3d.