A few odds and ends relating to Henry Reed can be found in the Internet Archive's digital library, the Open-Access Text Archive. They don't have as many titles for the second-half of the 20th century as they do for pre-1920 material that is in the public domain, but they have a bit.
Reed is mentioned in a 1961 special number of the Times Literary Supplement, The British Imagination: A Critical Survey, in a section devoted to radio: "In what other form of drama could one mirror the life of an era through one man's mind and reactions, as in Mr. Reed's Return to Naples, or through a many-layered pattern of experience, from that of the professor to that of a lizard on a hot stone, as in his The Streets of Pompeii?" (p. 94).
The Streets of Pompeii also appears in two program schedules for WBAI radio, New York, NY. The play was broadcast on Saturday, April 8, 1961, and again on Monday, February 4, 1963.
A real treasure is an electronic copy of Oscar Williams' 1951 anthology, A Little Treasury of British Poetry (1951). Williams compiled not only the original three Lessons of the War poems, but also Reed's lesser-known verses, "The Wall" (p. 843) and "Lives" (p. 844). The book is a little unwieldy at almost 900 scanned pages, so I took the liberty of lifting Reed's section and putting it in a separate, much smaller, file, including Williams' introduction.