I'm new user of the Easing Slider Lite plugin and after some wasting time trying to know why the slider didn't want to show images when I export theme on my webhosted server, I decided to tell it for other new users.
So. It can seems to be logic but well, I wasted 1 day trying to solved it till I got the solution.
When you export theme with Easing Slider Lite activated, you JUST need to delete images from Slider control panel and re-upload them.
Then, images will be well shown.
Don't forget it when you are exporting something (plugins,...).
I know I had to think about it first. But... sometimes your mind is away.
I hope it can help some of new users.