I used perplexity to find some more ancient fart jokes
One example of an ancient fart joke can be found in Chaucer’s Canterbury Tales. In the Miller’s Tale, two characters, Nicholas and Absalom, are competing for the same girl. Nicholas decides to humiliate his rival by waiting at the window for Absalom to beckon the girl. Just when he does, Nicholas lets out a fart with a noise as loud as a clap of thunder, almost overcoming Absalom with its force.
Another example from classical times appeared in "Apocolocyntosis" or "The Pumpkinification of Claudius," a satire attributed to Seneca on the late Roman emperor. In this text, a character named Nicholas lets out a fart as great as a thunderclap, which almost blinds the person struck by it.
The medieval Latin joke book "Facetiae" by Poggio Bracciolini also includes six tales about farting, although the specific jokes are not detailed in the search results