Glover was born at Houghton-on-Hill in Leicestershire, England. His parents were farmer William Glover and Ann (née Bright). He showed a talent for drawing at an early age, and in 1794 was practicing as an artist and drawing-master in Lichfield and Aldridge. The Countess of Harrington helped establish his practice as an art instructor, and may have taken lessons from him herself. He moved to London in 1805, became a member of the Old Water Colour Society, and was elected its president in 1807. In the ensuing years he exhibited a large number of pictures at the exhibitions of this society, and also at the Royal Academy and the Society of British Artists. He had one-man shows in London in 1823 and 1824. He was a very successful artist and, although never elected a member of the Academy, his reputation stood very high with the public.