Mossman practised as a physician at Bradford, Yorkshire.
On 6 July 1792 he married there a Miss Ramsbotham (Gent.
A marriage of Dr. Mossman, physician of Bradford, to Mrs. Ramsbottom of Barwick-in-Elmet, Yorkshire, is also recorded in 1812 (ib.
Mossman wrote: He contributed four papers to Duncan's 'Annals of Medicine,' 1797 and 1799 (ii.
577), and numerous papers on the effects of digitalis in consumption to the 'Medical and Physical Journal.'