Potter had a considerable practice in Staffordshire and its neighbouring counties in the late eighteenth and early nineteenth century.
At Plas Newydd it is thought Potter is solely responsible for the design and build of the gothic chapel.
(c. 1797–1875) took over his fathers practice after his death and went on to design many buildings including the Guildhall and Clock Tower in Lichfield.
James Potter (c. 1801–1857) the youngest son became a civil engineer working mainly on canals and railways.
Other architects Thomas Johnson and James Fowler of Louth were pupils of Joseph Potter and were influenced by his methods.