Hallveig Fróðadóttir (fl. 870s) is traditionally considered Iceland's first female settler. She was married to Íngolfr Arnarson, the first settler of Iceland and founder of Reykjavík.
According to Landnámabók, she was the daughter of Fróði and the sister of Loft the Old. She and Íngolfr had a son, Þorsteinn, who established an early thing at Kjalarnes. Through him, she was the grandmother of the lawspeaker Þorkell máni Þorsteinsson. Another child, Þórnýja, is mentioned in the late Kjalnesinga saga.
