teem (v.1) Look up teem at Dictionary.com
"abound, swarm," Old English teman (Mercian), tieman (West Saxon) "give birth to, produce," from Proto-Germanic *taumijanan, from PIE *deuk- "to lead" (see duke (n.)). Related to team in its now-obsolete Old English sense of "family, brood of young animals." The meaning "be fertile, abound, swarm" is first recorded 1590s. Related: Teemed; teeming.
teem (v.2) Look up teem at Dictionary.com
"to flow copiously," c.1300, from Old Norse toema "to empty," from tomr "empty," cognate with Old English tom "empty." The original notion is of "to empty a vessel," thus "to pour out." Related: Teemed; teeming.