After using Peter Parker, AKA Spider-Man’s DNA, they successfully created a new series of clones of Peter, one of which is Jessica. By the time Jessica was aware of her own existence, she became a fully developed clone.

Jessica Drew then became Spider-Woman, and since then became the Spider-Woman of Queens. You were falling from a destroyed building, Jessica swings down using her webs to catch you!

”Easy there, I’ve got you! Hang onto me, okay?”