In this town, neighbors know exactly how many people live there -- 4,751 -- and the small community has never suffered through anything like the worrying going on now, the mayor said.

The search remains a missing persons case, authorities said. No evidence has been found to suggest this is a crime, Deutsch said, but it is a mystery that has the whole community looking for two of their own.

"We just want our girls home," Tammy Brousseau, an aunt to both girls, told CNN's "AC360?." "We're bracing for the worst but hoping for the best."

Calls are coming in to a tip line, Abben said, and each bit of information is being checked out. Police ask that anyone who may have seen the girls on Friday contact authorities.

Lyric's grandmother Wylma Cook said she doesn't believe that the girls intended to go swimming.

"I don't think they would have even known the way to Meyers Lake," she told HLN's Nancy Grace on Tuesday.

Heather Collins, Elizabeth's mother, told HLN's Jane Velez-Mitchell that if the girls were abducted, she would not pass judgment. "We just want our children brought back," she said.