Try looking at your file associations. You have some that exist for the (NONE) extension that relate to actions such as clicking a hyperlink.
Round up these two particular suspects.
URL:HyperText Transfer Protocol
URL:HyperText Transfer Protocol with Privacy
Then set them up like this.
Application used to perform action: C:\PROGRA~1\MOZILL~1\FIREFOX.EXE -url "%1"
You might as well configure them for DDE while you are there.
Use DDE: Yup
DDE Message: "%1",,0,0,,,,
DDE Application Not Running:
I hope that does the trick. Good to see that you are a fan of the fox!