How do I share html5 animations created on my laptop?

I created an animated banner ad for a client. Now I would like to share it with them for them to review. I tried packaging the .html file and the Images folder in a new folder but as soon as I move it from its original location, it stops working. From what little I know about html, I would have thought that it would continue to work as long as the files' relative location remained the same but clearly this isn't the case. Is there something in the code that I can adjust so that it will work?