[MickDoneDee]

The latest version available for download is FlashChat_v482.zip. Is this the name of your downloaded file? Check the file size. Right-click the file and check its properties. The file size details should be:
Size: 3.54 MB (3,719,452 bytes)
Size on disk: 3.55 MB (3,723,264 bytes)

Extract all the files to your C: drive. The config.php file should be located in this path:
C:\..\FlashChat_v482\chat\inc\

The inc folder should contain these files:
badwords.php
common.php
config.php
config.srv.php
country.inc.php
flashChatTag.php
flashChatTagMambo.php
index.html
smartyinit.php

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Unfortunately, my webhost won't allow me to install FlashChat on my shared server.

Unfortunately we do not allow any kind of live chat applications to be ran from our shared hosting servers, this is due to the fact that we can not limit the memory / server useage.