Just some interesting information behind their scientific and English names:
Cygnus = From a Greek myth: Cygnus was a son of a King who was so badly afflicted by the death of his friend Phaethon and was metamorphosed into a swan.
Olor = Latin for swan.
The English name for Swan is an Old English word and has not changed it's spelling since. The name for "Swan" is a very Aincient word and is similar to Dutch "zwaan," and German "schwan" even Latin "sonus" with a meaning of "sound, noise" (referring to the whooper swan calls and the "wing" noise with the mute swan in flight)
This swan was originally named as "Tame swan". It was changed into "mute" in 1785 and was named so because it doesn't emit any sound when compared to it's noisy and very vocal cousins (especially the Whooper swan).