Their grandparents, Leon 'Bubba" McClaran Sr. and Mollie McClaran, died in the blaze.
"While it was first thought the children perished in the fire, no remains were ever identified as belonging to the children and there remains some hope that they may not have been in the house at the time of the fire," said a press release issued on behalf of the McClaran family Wednesday by Bobby Maxwell, one of the reward fund's administrators.
"The McClaran family, along with donations from friends and neighbors, is offering a reward of up to $1,500 for information leading to the recovery of, or the arrest and conviction of any one responsible for the disappearance of, Cloie Leverette and Gage Daniels," the release said.
That number will rise as more donations are made. organizers said.
Contributions to the fund may be made through a memorial fund established in the children's name at Regions Bank in Eagleville and Shelbyville.
Any information which may be of assistance in finding the children should be reported to 1-800-TBI-FIND (1-800-824-3463).
Maxwell and Dean Felder are administering the fund on behalf of family members.
"All donations are for the purpose of finding the children and providing for their immediate needs upon recovery," the release said.
"Any excess funds will be donated to the Tennessee Baptist Children's Home in honor of the children."