Hmm. Do you use groov as a proxy? This checkbox in the gadget settings in build?
(Just saw Ben's post pop up while I was adding an arrow to that screenshot. )
That really shouldn't be a issue if it's working in Firefox, but it's worth narrowing down the problem space.
Are you at all comfortable with Chrome's dev tools? Hit F12 (on Windows or Linux, Shift-Cmd-I on Mac OS X) while you're viewing the page with the Video gadgets on it and see if there are any errors reported in the Console or Network tabs?