Nope, this Jessie's short for Jessica, so not a Jesse, Red!

"Yes..." James sighed a bit sadly, but carried on bravely! "Jessie is my partner! She has very long red hair... blue eyes, her uniform is white like mine. She has a short temper and can be bossy, but she's also strong, determined, and reliable. Meowth is also our team mate, he's very clever and taught himself to walk on two legs and speak human language! He can think a bit highly of himself and often forgets he's a Pokemon, but he designs excellent machines!"