Who Invented the Fresnel Lens?

One might think this is a trick question, similar to "Who's buried in Granet's Tomb " There really was a question about the inventor of the famous lighthouse lens. From 1822, when Augustin Fresnel first published his paper Memoire sur un Nouveau Systeme d'Eclairage des Phares, Sir David Brewster, in Scotland, claimed that he was the true inventor, and his claims were not fully resolved until after his death in 1868. This story will discuss the various claims made by Brewster and the counter arguments made by Alan, David, Thomas Stevenson and others. When we are finished we will know who invented the Fresnel lens.