Looking at the overall number of your forum posts I assume you aren't a Joomla newbie. So I guess you have
- downloaded the latest EasyImageCaption (EIC) version
- installed it correctly
- and haven't forgotten to enable the plugin!?
There are options to exclude images from "captionizing" in the plugin's parameters. Maybe you have set these wrong (if that's the case, it is probably due to my bad English descriptions).
Are the images embedded in regular article content or is this text some kind of module or a special component? EIC only works on article content (some modules apply plugins as well).
Does this happen to all of your images, or does EIC work on other pages?