Poupart's ligament was named after a 17th Century French anatomist. This is a good example of another problem with eponyms. The name is inaccurate because Poupart was not the first person to discover or describe it. Some of the most important structures in the human body have been named after nondescript anatomists and some of the most important people in anatomical history have had insignificant structures named after them. Structures are no longer called after people, thank goodness, because they tell you nothing about the structure.
Some clinicians are very traditional, however, and maintain the eponyms.
Eponyms are still common in general medical terminology. McBurney's point is the most common point of tenderness in acute appendicitis, named after a 19th century New York surgeon. Anatomically, McBurney's point is situated 1-5 cm from the right ASIS on a line between the ASIS and the umbilicus, which corresponds approximately to the normal position of the base of the appendix. Osgood-Schlatter's condition was named after Osgood, a Boston orthopaedic surgeon, and Schlatter, an Austrian surgeon who both practised in the early 20th Century. It affects the ossification centre at the tibial tuberosity during late childhood.