He was elected to the Linnean Society in 1800, and to the Royal Society in 1801, and was one of the original members of the Geological Society. Hailstone contributed papers to Transactions of the Geological Society (1816, iii.
In 1800, he became a member of the Linnean Society, followed by his election to the Royal Society in 1801. He was also one of the founding members of the Geological Society. Hailstone published papers in the Transactions of the Geological Society in 1816, volume iii.