It is very unlikely that telerecordings of the live broadcasts were ever made, given the BBC didn't even attempt this method until 1953.
[2] Some sources state that a BBC filmed adaptation of "The Adventure of the Mazarin Stone" (which aired on 29 July 1951) starring Andrew Osborn as Holmes and Philip King as Watson was a pilot episode for the series[1][2][3] while others state the "Mazarin Stone" adaptation was a separate project entirely and was filmed for the Festival of Britain.
[4] As quoted in a feature written for Radio Times, Lejeune said of the series, "we picked the stories that seemed likely to give a variety of subject, while rounding out the portrait of the man... We have tried, as loyally as we can, to preserve both the spirit and the high spirits of the original stories".
[2] Live television had its pitfalls, of which Wheatley later complained: I must say I found it the most difficult thing to speak I've ever done in the whole of my career.
Mr. Alan Wheatley, though rather younger and fuller in the face than the Holmes of his opponents' nightmares, yet catches the essential character.