The first recorded utterance of the word “fuck” is thought to be heard on a photographic glass plate recording from March 11, 1885.
From FirstSounds.Org, this (tentative) transcription of the audio:
This record has been inscribed by Mister Sumner Tainter and H. G. Rogers. It’s the eleventh day of March, eighteen hundred and eighty five. [Trilled R] How is this for high! Mary had a little lamb, and its fleece was […] as […], and everywhere that Mary went — oh, fuck.
Disc 3 – 287654.11 (via Reddit)