Before playing eboard chess you need to install a chess engine, since eboard is only a front-end. Chess engines can easily be installed through Xandros Networks having set your application sources to include 'debian unsupported'. I would suggest you search for both crafty and gnuchess and install them both. These can be installed before or after eboard (a more recent version of eboard being found under the games section at http://www.geekconnection.org/downloads.htm
Having got your engines installed you then need to be to be able to launch the application since eboard doesn't automatically install its own icon. You can do this in two ways:
1) Launch>Run Command and simply type eboard
2) Make your own entry in the applications menu by opening the menu editor window:-
2.1 Launch>Applications>System>Menu Editor
Click the + sign next to applications
Click the + sign next to Games
Highlight the desired category, in this case 'Board'
2.2 In the menu bar (just under the title bar) of the 'Menu Editor Window' select File>New Item and enter the word 'Chess' or 'eboard', and click OK.
The word chess or eboard should now appear on the right hand side of the window. To choose an icon click the adjacent square button.
There is a whole myriad of icons to choose from and most of them are meaningless. You can add your own, but by luck scroll down and select the icon for 'kdmconfig' which is two pawns!
Having selected your icon, enter the word eboard in the 'Command' box
2.3 Save your settings: File>save