I know that the lampreys are often lumped in with the fish, but the jawed fish are more closely related to us than to lampreys.

(Fish aren't a clade at all so call em whatever you want.)

That is known today, but like I have said, the Ancient Greek and Roman authors, like Aristotle or Pliny the Elder, lumped together morrays and lampreys, because for some reason in the ancient world much more attention was paid to skin and limbs when classifying animals, than to the details of their jaws.

Because the Ancient Greeks and Romans used the same word for morrays and lampreys, when translating ancient texts it is difficult to decide which of the two was meant.