William Stebbing was born in Clerkenwell in London, the son of a clergyman. He was educated at Worcester College, Oxford, where he graduated MA in 1856, and where he held a Fellowship for the next fifteen years. Stebbing seems to have divided his time between Oxford and London, accepting a second Fellowship at King's College London in 1853, and being called to the Bar at Lincoln's Inn in 1858. He left Oxford altogether in 1870 and worked for seven years as assistant editor of The Times. Nothing is known about his subsequent career as teacher, lawyer or journalist.
From The Continuum Encyclopedia of British Philosophy in Oxford Reference.