In this episode we learn that the little creature True has been keeping, is called a Koba.
In the opening credits, Jessica Steen was incorrectly credited as Julia Stern, M.D. when her character is Julia Heller, M.D.
(Looking through scope at the Grendler and Gaal)
Baines: Yale, come check this out. Mangiest looking thing in the whole universe, wouldn't even wipe his mouth. I think I'm gonna puke.
Gaal is the name of a character from the Old Testamant book Judges. Gaal had occupied Shechem and boasted to Zebul, the ruler of Shechem (a city), that he could defeat Abimelech (a king and tyrant). Zebul warned Abimelech of Gaal's plans and offered a plan to defeat Gaal. Abimelech defeated Gaal and drove him back to the gates of Shechem. Zebul subsequently drove Gaal and his remaining kinsmen from Shechem altogether.
The Grendlers appear to be named after Grendel in the myth Beowulf. While they are not pure evil like the monster Grendel they are troll like in appearance and marginal to human groups like the mythic character.
The title The Man Who Fell to Earth references the 1963 novel by Walter Tevis and the 1976 movie of the same name in which an alien (David Bowie) comes to Earth looking for water to save his planet.