I don't know anything about XWAMP, but in general, to access another computer on the same network via web browser you'd use the IP or computer name like:
http://computername(http://computername)/ (port is optional. it is 80 by default. if your xwamp server is serving files from a non-standard port, you'll need to specify it)
or
http://192.168.1.2(http://192.168.1.2) (or whatever the ip address of your computer on the local network is. Use ipconfig and find the 'IP Address' for the osticket machine. If it's on wireless make sure you choose the wireless adapter. If it's wired, use the ethernet adapter info: http://technet.microsoft.com/en-us/library/cc940124.aspx(http://technet.microsoft.com/en-us/library/cc940124.aspx))