The site concerned is apparently aware of this problem but I am wondering how much of this is a Firefox problem and how much is the site problem, as it says "There is an issue with using this service in Firefox which is currently under investigation."
Problem page link: https://www.sefton.gov.uk/bins-recycling.aspx
Without any exceptions set this gives an untrusted error. That gives details
selfserve.sefton.gov.uk uses an invalid security certificate. The certificate is not trusted because no issuer chain was provided. (Error code: sec_error_unknown_issuer)
There is no option to create an exception, from the dialogue box. However the dialogue will right click; it is then possible to open the Iframe in a new tab, and this time an option to set an exception is available.
Presumably all of this is known and expected behaviour, but not a particularly good experience for a Firefox User.
IE does not have a problem with the afore mentioned page, (I have not tried other browsers).
Possibly this is related to Bug 991313 - tell the user why they can't add a certificate exception in a framed page