When I put “joystick mouse emulation software” into Google I got quite a few hits. The top one being to:
“Originally requested by 3M for a disabled user, the story of "Joystick-To-Mouse" dates back to 1995. Using technology created by IMG & recognizing the need for software with the capability of using the joystick device to act like a mouse, "Joystick-To-Mouse" was created in conjunction with RJ Cooper & Associates. Continually improving the product and reacting to the interest, needs, and requests of customers, the latest release of "Joystick-To-Mouse" presents a completely new way to interface with Windows based PC's, much like IMG's My-T-Soft product line. With cross-over acceptance, Joystick-To-Mouse is used not only for providing accessibility to PCs for disabled users, but by all types of users who enjoy the "game-like" approach to running internet browsers & windows programs.”
Demo on this page: click here
Substituting “Freeware” for “Software” gave me a few more, most conspicuously click here
I can’t vouch for any of them though amigo, as I have no experience.