It sounds like you opted for the Easy One-Click install, which puts it on a central server. Maybe Support can move it for you, but One-Clicks in general aren't movable without breaking something.
The other pieces, if you're handy with your FTP client, can be Moved to a different directory. I use Transmit that lets me move it to the parent directory, or one I specify.
Another option is to rename yeaverily.net to yeaverily.old and then see if your FTP program has a Duplicate (or Copy) option to duplicate the entire dreadscurvy.com folder (minus the Easy One-Click) over to yeaverily.net, and then strip out the stuff you don't want to keep.