@ TheOtherJola - they tried
Kodak did try to fill out their photo portfolio, but failed, pretty miserably, as evidenced by their poor returns. About what you'd expect from a bunch of chemistry people who wandered into the field of photography.
Kodak's desktop software ("Kodak Image Gallery" or something like that) came out in the early 00's. Did a decent job pulling in pictures and presenting them. Achilles heel? Not possible to export the gallery meta-data to another computer, you know, as in migrating to a new machine. Also braindead on handling imports of duplicate snaps. Whoops. Picasa handily took over when it came out. So cross Kodak off of the data storage and archiving possibilities.
Kodak's digital cameras were also laughable. We had what was probably a second-gen one. 3.1 Megapixels, gave good picture quality. Live-view did not exist, slower than ages to focus and take a picture, and the thing ate batteries like mad and was picky about them on top of it. We hated it so much we went back to using film.
So Kodak, rather than think they were in the picture business, building a whole portfolio around their chemicals and their processing systems, should have built chemical-processing solutions for any other industry. They were probably also scared to death to invent or commercialise a product that would disrupt their chemistry business.