A Missing Child Alert has been issued for the five children: Lashaun Felder, 9, Dwayne Felder, 8, Ariana Felder, 11, King Brody, 2, and Kyliah Holloway, 7.
Clark is described as "depressed and suicidal," according to the police report.
JSO said it is "trying to ascertain their safety," as Clark and her children were evicted from their home with nowhere to stay.
On Sunday, Clark allegedly told a friend she met up with at Walmart on Merrill Road, "DCF will not help me with the kids and they will be better off without me. I am going to kill myself," according to the report. She was reportedly drinking at that time.
Clark was last seen Sunday, driving off in a 2007 black Toyota pickup truck on Dalehurst Drive.
Police said they can be anywhere.
The Cox Media Group National Content Desk contributed to this report.