Step 1: Rickettsial fevers are best recalled by pairing each illness with its arthropod carrier.
Step 2: Endemic typhus, also called murine typhus and due to Rickettsia typhi, circulates between rodents and is passed to humans through the bite or contaminated faeces of the rat flea.
Step 3: Louse points to epidemic typhus, mite points to scrub typhus, and tick points to the spotted fever group; none of these is endemic typhus.
Step 4: The answer is therefore the flea.
\[\boxed{\text{Flea}}\]