xulrunner is used by Firefox and other applications. When you update Firefox (for example), depending on the distro you are using, an accompanying update for xulrunner comes in also. Now, if your updating Firefox (or some other app that uses xulrunner) from somewhere other than your distro's repositories, you have the chance of causing a sort of versionitis when trying to install other programs.
My advice is to see if you can find a more recent version of chmsee that has the more recent xulrunner for a dependency, or, find out which app brought in the more recent version of xulrunner, and if possible, downgrade the version of that app so the version of xulrunner goes back to 1.9.1.

When I have attempted to install program that relied on xulrunner, I have always had to compile the latest version of xulrunner manually to build the necessary libraries for the app to reference. Depending on how the app was built it could be that it is referencing firefox rather than your installed xulrunner as the others have stated.

If my understanding of chmsee is correct, that it is used to display man pages in a gui, then you might want to check out konqueror which is a web browser that does the same thing.