[2][3] The genus was circumscribed by David L. Hawskworth in 1986, with Weddellomyces epicallopisma assigned as the type, and at the time, only species.

Weddell made significant contributions to French lichenology and was the original collector of the type species for this genus.

[4] Weddellomyces shows some similarities to other fungal genera such as Zopfiofoveola, Dacampia, and Pyrenidium, but is distinguished by its unique combination of morphological features.

Within the ascomata, Weddellomyces species possess a hamathecium, which refers to the sterile tissues between the spore-producing structures.

The asci themselves are elongated, either slightly cylindrical or club-shaped, and feature a double wall, a characteristic known as bitunicate.