Woodward was born on 1 May 1665 or perhaps 1668, in a village, possibly Wirksworth, in Derbyshire. His family may have been from Gloucestershire; his mother's maiden surname was Burdett. At the age of 16 he went to London to be apprenticed to a linen draper, but he later studied medicine with Dr Peter Barwick, physician to Charles II. As a leading physician who had never been to university, Woodward was a prominent figure on the "modern" side in the Quarrel of the Ancients and the Moderns in early 18th-century England, on the medical and other fronts.