I received the following guidelines from Brian McConnell UE at the Kingston and District Branch of the UELAC (The United Empire Loyalists' Association of Canada) - refer to "Lord Dorchester's Proclamation" which says...
"N.B. Those Loyalists who have adhered to the unity of the Empire, and joined the Royal Standard before the Treaty of Separation in the year 1783, and all their children and their descendants by either sex, are to be distinguished by the following capitals,affixed to their names:U.E. alluding to their great principle the unity of the Empire."