I've owned one Wilcox-Gay "recordio" that was three speed. It was an early '50's "suitcase" model that had a built in AM radio and it used the same tonearm to cut as well as playback.
I didn't even think about this 45 being cut at a radio station. Years ago, I met a lady, whos late husband was a minister back in the '40's and '50's. She had hundreds of 16" transcription records of his sermons and they were all cut at a local radio station. IIRC, the records played from the inside out. She had an old cheap beat up crapafone (oops, I meant califone) transcription player that was past going. I ended up giving her a Garrard 301 TT and a pioneer cassette deck and receiver so she could transfer the records to tape. I'll tell you, that made a 90 something year old little lady very happy. And, that alone was worth more than any money that I might have gotten for the equipment.
I have several different makes of these 7" blanks. I have a few of these Audiodiscs and a whole bunch of Wilcox Gay 7" blanks. Had them for awhile and can't remember where I got them now. Don't forget, there were thousands and thousands of home recording units available to the public. Anything from the simple Wilcox Gay to Rek-O-Kut to Philco to Presto. Granted, there is still a very good chance your record could have come from an actual studio. I mean it is 60 years old and hard to tell where it's been.
I have never researched any info on Audiodisc, but there were just as many blank record companies as there were producers of such machines.
You can often tell, just by listening to an old disc like this, and get a good idea of where it might have been cut. The fidelity and sound of a Wilcox Gay would rate down at the bottom, compared to a Presto that would rate more toward the top if this disc was cut at home.