Police in Kauai pulled over Lori Vallow and Chad Daybell near a beachside resort on Saturday, later searching them and their car for any evidence.
Still, neither Lori Vallow nor Chad Daybell have been charged or arrested in connection with the matter, Kauai police said Sunday in a prepared statement.
Lori Vallow moved to eastern Idaho with the kids about a month after Charles Vallow's death.
The Vallow family has ties to Hawaii, and Lori Vallow was previously listed as a registered agent for a business there, according to state records.
They say they believe Charles Vallow was murdered, and said Lori Vallow and Chad Daybell had cult-like beliefs.