I have been trying to fix this for hours now, I am reading this and I don't see anyone with this error.
I typed the following as I tried to install.
Prefix: hlc_ (kept it the same)
Then I click next, then submit.
Warning: mysql_connect() [function.mysql-connect]: Lost connection to MySQL server during query in /home/.tideles/hhaddis/crazyphonez.com/hcl/class/database.php on line 48
Lost connection to MySQL server during query
I went and checked whats line 48 about in database.php and it was saying something about username and password.. I went to mysql.mywebsite.com on my firefox and then I was able to log into it with the username and password I have here.
Try setting the database name to whatever your hosting company calls the database you have previously created for HCL.