Thanks to the creative storytelling that is the gold standard for animated films, Pixar movies have become a breeding ground for fan theories, and so it has been heavily speculated that Andy's mom is the former owner of Toy Story's Jessie. She is introduced in Toy Story 2 when it's revealed that Woody is part of a toy collection called Woody's Roundup gang, including Stinky Pete the Prospector, Bullseye the horse, and, of course, Jessie the yodeling cowgirl. Jessie has strong opinions about toys being owned, and that stems from when she once belonged to the mysterious Emily, and they initially had a great child-toy relationship.

https://screenrant.com/toy-story-andys-mom-jessies-owner-theory-explained/