Just in case anyone revives this old thread hoping for a solution...
I just had to rename my SolarWinds server. SolarWinds 6.1.0 running on Server 2012 R2 (pointing to an external SQL server). Fortunately, the fix appears to have been as simple as re-running the Configuration Wizard. I selected to update all 3 aspects (database, website, services). It gave a dire warning about making sure the old server was up and running still (of course it couldn't be, since it had been renamed), but I just plowed through the prompts, and everything appears to be right as rain...
I will update this thread if I have a problem or have to do something else to fix this.