Reichenbach erected Basilosaurus kochii for the posterior skull fragment MB Ma.43248, found in the Late Eocene Ocala Limestone of Clarksville, Louisiana. Meanwhile, Muller erected a new subspecies of Zeuglodon brachyspondylus, Z. brachyspondylus minor, for not only MB Ma.43248 but also MB Ma.43247, TM 8501, and several vertebrae. In the late 19th century there was a debate whether large and small specimens attributed to Zeuglodon brachyspondylus were separate species or not. Hoping to clarify things, restricted Z. brachyspondylus to the large fossils and created the subspecies Z. brachyspondylus minor for the small specimens which had previously been synonymized with Dorudon serratus. proposed the genus Zygorhiza for the subspecies. Adopting True's generic name, synonymized this subspecies with Basilosaurus kochii to form the new combination Zygorhiza kochii. named and described the species Zeuglodon wanklyni based on a skull collected by Dr. Arthur Wanklyn from the Barton Clays in southern England. This skull, however, was never deposited at the British Museum of Natural History and has not been since Seeley described it., nevertheless, recombined it as Zygorhiza wanklyni and referred a posterior cervical vertebra from the same location to it. Uhen 1998 declared it nomen dubium. described an incomplete skull, four vertebrae, two teeth, and small fragments in early Bartonian sediments in New Zealand which they tentatively identified as Zygorhiza sp.. This is the oldest known Dorudontinae and the oldest known cetacean from the Southern Hemisphere In the U.S., Zygorhiza is known from the Gulf Coast, whilst Dorudon is known from southeastern Atlantic Coast. Outside North America, Zygorhiza has only been reliably identified in New Zealand, whereas Dorudon only in Egypt. It is possible that these non-overlapping distributions indicate differences in habitat preferences.
Anatomy
Like other dorundontines, Zygorhiza had a body similar to modern cetaceans with flipper-like forelimbs, rudimentary hind limbs, a vertebral column adapted for oscillatory swimming, and a tail fluke. estimated the adult body mass for Zygorhiza to based on an estimated body length of. Using CT scans, they estimated the brain weight to, resulting in an EQ value of 0.26
Dentition
The permanent dental formula for Zygorhiza is, the deciduous dental formula is. The cingula at the base of the tooth crowns on P2–4 are strongly developed but do not meet on the medial side. P2, the largest upper tooth, has four accessory denticles on the anterior and posterior cutting edges. P3–M2 form a closed series. P2–M2 have two widely separated roots, accessory denticles on the anterior and posterior cutting edges, and anastomosing striae on the enamel. P1 is caniniform with a single root. P2–4 have laterally compressed crowns and accessory denticles on the anterior and posterior cutting edges. P4 is the largest lower tooth. M1–3 have accessory denticles on the posterior cutting edges. P2–3 are two-rooted. Outside the upper one-rooted teeth and inside the upper two-rooted teeth there are pits for reception of the lower teeth. Zygorhiza replaced their upper and lower deciduous first premolars with permanent teeth. This is very unusual in modern mammals and contrasts to extant toothed whales that only develop a single set of teeth. It might indicate that Zygorhiza represents a stage in archaeocete evolution where skeletal maturation was delayed like in modern cetaceans. Zygorhiza differs from all other dorudontines in the presence of well-developed cuspules on the cingula of the upper premolars.
Skeleton
The skull is elongated with a narrow rostrum and a flattened forehead; the premaxillae are laterally convex. The high sagittal crest is flanked by two large temporal fossae, resulting in a narrow intertemporal region. The hyoid apparatus consists of a small, central, and hexagonal basihyoid bone. From this bone project a pair of thyrohyoid bones that are slightly expanded anteriorly and tapper off posteriorly, and another pair of slender and elongated bones, the epihyoid and stylohyoid bones. The elbow is a hinge joint without rotary movements and the forelimbs are relatively short. The humeri of Zygorhiza and Chrysocetus are more gracile than those of Dorudon. The vertebral formula is 7 cervicals, 15 thoracics, probably 13 lumbars, 2 sacrals, and at least 21 caudals. The centra of the posterior thoracic, lumbar, sacral, and anterior caudal are slightly elongated. The centra of the cervicals are compressed and the flexibility in the neck is limited by the interlocked lateral processes. The atlas has a hypapophysial process. The axis, a small odontoid process, short and narrow transverse processes, and an elongated neural spine.