The front body was flattened horizontally, oval-shaped, likely bearing a reticulated or anastomosing pattern, and had 5 evenly-spaced gill pouches along the midline.

The species name peeli is in honour of Professor John S. Peel from the Geological Survey of Greenland, who especially researched the locality Ooedigera was discovered in.

[1] The type specimen MGUH 29279 was discovered in the Early Cambrian Sirius Passet Lagerstätte of the North Greenlandic Buen Formation.

The specimen is a flat compression fossil preserved in fissile mudstone, with an odd, thin lamination, and several small splotches which represent the remains of various other creatures, such as sponges and trilobites.

Vetulicolia is a subphylum of primitive Deuterostomia, a large group of animals whose first opening in fetal development becomes the anus as opposed to the mouth as in protostomes.

The type specimen seems to have been compressed on its side during fossilization, and due to the irregular folding of the outline, the skin may have been softer than in other vetulicolians.

[8] About 45 species have been discovered in Sirius Passet, mostly endemic fauna, including trilobites, sponges, worms, and the extinct halkieriids and lobopodians.

[1] The area may have been an oxygen minimum zone, and, like the preceding Ediacaran, the ecosystem may have been primarily based on chemosynthetic microbial mats which fed grazers and filter feeders.