Confusing https situation

So I have this site:

https://pa_allegheny.uslandrecords.com/palr/controller

And it's https, no problem. Works in a browser. However, when running it through the (ver5.5.4a) proxy I get an error:

Error 107 (net::ERR_SSL_PROTOCOL_ERROR): SSL protocol error.

Ok, fine, proxy can be strange some times (have never had this issue before, however) so I'll do it by hand. I use tamper with firefox and get the http request response flow and start plugging URLs into screen-scraper, the first being the simple:

https://pa_allegheny.uslandrecords.com/palr/controller

But from screen-scraper now I'm getting this:

Scraping file: "New Scrapeable File"
New Scrapeable File: Resolved URL: https://pa_allegheny.uslandrecords.com/palr/controller
Setting referer to: http://pa_allegheny.uslandrecords.com/palr/controller
New Scrapeable File: Sending request.
New Scrapeable File: An input/output error occurred while connecting to 'https://pa_allegheny.uslandrecords.com/palr/controller'. The message was URI does not specify a valid host name: https://pa_allegheny.uslandrecords.com/palr/controller.
Processing scripts after scraping session has ended.

Which confuses me more, as that's complaining about a host name, not about security.

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That said, I'm having trouble getting the site to work in firefox at all, even without the proxy. So I'm guessing it's all about the site. But the situation really felt like one in which screen-scraper would be able to plow through and fake it enough to get where it needed to go.