The first Telegraph System (1794) was actually "Wireless Telegraphy" a bit like the Clacks on fictional Discworld.
Though there may have been earlier long distance communications capable of more than one message (Warning beacons on hill tops) such as drums, mirrors and smoke signals.
Some early wired Telegraphs used up to 35 wires (from about 1809), Cooke and Wheatstone used 5 wires then 4 in about 1937 as a commercial service. Morse's system used only one wire, but the code isn't the same as the code today and was developed by an assistant, Alfred Vail.
1851 - 2013 Indian Telegraph (RIP)