Leimome Cheeks will be arraigned Monday on child endangerment charges.
Neighbors vouched for Cheeks and said they did not think she intentionally did anything wrong.
Temperatures in Memphis, Tennessee, reached up to 33 degrees on Saturday.
Authorities responded to a call about a woman transporting children in dog kennels and, while investigating at a house in Whitehaven, Cheeks drove up to the home, according to an affidavit of complaint. Another neighbor told Fox 13 Cheeks "loves her grandkids" and that they were "always outside playing with the dogs and stuff". She seems like a nice lady.
Cheeks told police that she traveled with the children in the kennel from Collierville to Whitehaven because there was no room for them in the auto, Cleveland 19 News reports.
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Cheeks is being charged with child endangerment, while police and Child Services continue their investigations.
The incident was filmed on cell phone on Saturday by a man who happened to drive pass as the children were exiting from the vehicle.
"Leimome Cheeks was interviewed and admitted to riding from Whitehaven to Collierville with the children in the kennel", a police affidavit says.
Skylarr Blake, who lives a few doors down from Cheeks, said he couldn't imagine her doing such a thing.
Police say the children are okay.
The 62-year-old was being held Sunday at Shelby County Jail.