Don't feel bad, divit. I recorded the stream to my computer with new & unfamiliar software (unfortunately - and in keeping with my block headed nature - not choosing your recommended and easily applied solution, Ilsyde) and - when it was over and I had a hunking mp3 file of the full hour ready to be saved... I pressed the wrong button on the mystery softwares' interface and deleted it!
I am now futzing around on GOOGLE using my backup computer trying to find some sort of recovery software to save that cached file from being overwritten.
Ye GODs! Why must computing in the 21st century of human history require that one become a bloody System Admin just to get things done?! Grrrr!