Here are a couple of other observations,
I have read that while Tom was attending USC, he polished a lot of mirrors for amateurs in Los Angeles and before December 1950 he had made more than 900 mirrors. This has been written and is on the Cave Astrola Owners Web site. The information on that site is second hand and some of it conflicts with Toms writings, but he did make many early mirrors and Tom Cave JR and Senior were well known in LA before 1950.
William Llano a friend of Tom Jr. has said that Tom Senior made some of these very early mirrors and they were very sought after, but weather dad or son made them would be speculation.
It looks like Cave Optical stared up real production 1951 and 1952 and made around 60 numbered mirrors by the end of the second year.
From Sky & Telesope 1953, Harry Freeman A longtime amateur astronomer and maker of telescopes and accessories, Harry L. Freeman, died in Los Angeles on February 27th  at the age of 64. He was a past president of the Los Angeles Astronomical Society, and served as its secretary-treasurer for three years. At the time of his death he was director of the Astronomical Society of the Pacific, and a member of the board of Western Amateur Astronomers.
Harry was building telescopes for the Folks at LAAS and made at least 10 complete mounts with Cave mirrors starting in 1951 ending in 1952 Tom and his Dad made the mirrors for Harry Freeman. I have one of these complete scopes. Harry Freeman Died in early 1953. From what Lew Chilton told me Tom and his Dad started making Astrola mounts where Harry left off.
Lew Chilton has in his possession an original manuscript / Biography written by Tom Cave in the 1960s. Tom wrote allot about the early days of Cave Optical and Harry Freeman.
On to the Cave Mirror production and Jon's Cave Mirror Registry (the CMR)
Tom included either M for Manufactured or R for Re-figured.
Sometime between 1962 and 1965 CAVE was up around 3000 mirrors and then stared the serial numbers over form zero. These included the year designation at the beginning of the serial number.
The Company was on a roll from 1963 or 64 through 1974 (need more mirrors) But it looks like they made 10,000 Mirrors in 10 Years !!! Is that possible?? That's like 2.5 mirrors a day.
In the last months of 1974 they started the serial numbers over at zero and started going at it again. They made another 4500 Mirrors and stopped in 1980 (need more mirrors)
17,500 mirrors, Based on JONS List. Not hearsay, from memory or guesses just Mirrors That Classic Telescope Men saved from the Dump!
This has nothing to do with Astrola Mounts. That's another List.
Very cool information Jon
1952 Harry Freeman Reflector 8" F9 mirror By Cave Optical.