He was for many years one of the leading physicians of Bath, Somerset, where his grandfather, William Falconer, had also practised.
At first he settled at Tenby, but in 1847 he moved to Bath, where he continued to practise till his death.
He was a man of varied knowledge and accomplishments, fond of archaeology and botany, and sufficiently respected by his fellow-citizens that they elected him mayor in 1857.
In addition to his Edinburgh doctorate, he held the honorary title of doctor from Queen's University of Ireland, 1879, and that of fellow from King and Queen's College, Dublin, and was a fellow of the Medico-Chirurgical Society of London.
He published several works on the subject, as well as contributing cases to the British Medical Journal in 1861.