Cheeks allegedly admitted to putting the children in kennels but told police she "made sure to check on them periodically", according to ABC News.
She told the children to get in the kennels because there wasn't any room left in the Ford Explorer, according to a police report.
The grandmother allegedly drove for more than a half hour in 95-degree heat with her 7- and 8-year-old grandchildren inside the kennels because there was no space in the auto, reports The Charlotte Observer.
Ms Cheeks was being held in the Shelby County Jail.
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. She drove from a suburb called Collierville to the downtown Memphis area - a roughly 40 minute drive.
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Local 24 spoke with Cheeks' neighbors about her arrest.
A video of Cheeks unloading the children out of the kennels circulated around Facebook and caught the attention of authorities.
Neighbors of Leimome Cheeks expressed shock, saying she was a 'very nice woman'.
"Many have inquired about a viral video from Saturday that shows two children being transported in pet kennels", the Memphis Police Department said.
Skylark Blake, one of Cheeks' neighbors said the incident was not typical of something Cheeks would do.
She is now facing two charges of child endangerment. The 62-year-old is out on bond and has a Monday morning court appearance.