Yes, that franklow2.heliohost.us domain is hosted on Lily. The franklow.heliohost.us domain is hosted on Plesk. Therefore, aspx files on the franklow.heliohost.us domain won't work, but they will on franklow2.heliohost.us.
Right now Lily is basically an IIS webserver for ASP.net and FTP access, but there is no control panel to access it, that's why you have the Plesk account at the same time. Eventually we're hoping to install Plesk on Lily and have a control panel for our windows hosting.