Tracks: Never Let Go [BBC1981, OTR81] Song Within A Song [BBC1981, OTR81] Summer Lightning [BBC1981, REc] Ice [BBC1981, ICSYHFH2009] Lunar Sea [OTR81] City Life [BBC1981, OTR81, NU2009] Nude [BBC1981, OTR81, NU2009] Drafted [BBC1981, OTR81, NU2009] Docks [BBC1981, OTR81, NU2009, REc] Beached [BBC1981, OTR81, NU2009, REc] Landscapes [OTR81, NU2009] Changing Places [OTR81, NU2009] Reflections [OTR81, NU2009] Captured [BBC1981, OTR81, NU2009, REc] Lies [BBC1981] The Last Farewell [BBC1981, OTR81, NU2009]
Notes: Some listings include The Birthday Cake and Nude Returns, which technically are subdivisions of The Last Farewell. The back cover of NU2009 says that the live tracks were "recorded at Hammersmith Odeon on 22nd February 1981 for BBC Radio One "In Concert"", which turns out to be an error. REc claims the recording date as 27 February 1981, another error. More detailed information can be found in the post below.
As I don't see a listing for the Golders Green Hippodrome in 1981, I'm guessing this was recorded from 1 of the following gigs: 27 February 1981 - Hammersmith Odeon, London, UK 2 April 1981 - Hammersmith Odeon, London, UK
My guess is the latter as there seem to be other official releases with tracks from that gig (notably OTR81).
Completely missed this reply until going through the post again (please feel free to bump anything else I don't reply to!).
It is Hammersmith Odeon 02 Apr 1981 which gig was not on the original schedule but added to the end of the UK tour afterwards. In fact they cancelled their scheduled show due to be in Berlin at this date. I speculate that they did this to accommodate the BBC because of the prestige and PR of being broadcast on "In Concert".
OTR81 contains the original BBC broadcast on 2nd May 1981. We owe thanks to Jonathan Dann (who runs Ant Phillip's website) for suggesting the release to Andy Latimer, hence the acknowledgement to Jonathan in the liner notes mentioning a telephone conversation from a call box.
Rebroadcasts of the BBC show have used the BBC transcription LP CN-3781/S#250 which have a somewhat different selection of songs. Extras are: Summer Lightning, Ice and Lies. Missing are Lunar Sea, Landscapes, Changing Places and Reflections. Summer Lightning has appeared on REc, Ice on ICSYHFH2009 as you suspected.
Below is the full listing. I've left in "Lies" but you may decide to remove it on the grounds there are no official releases. However I would recommend including any songs known to have been performed in represented gigs because it is interesting to know what is missing and (finger's firmly crossed) what might yet appear on a release.
02 April 1981 - Hammersmith Odeon, London, UK
Tracks: Never Let Go [OTR81] Song Within A Song [OTR81] Summer Lightning [REc] Ice [ICSYHFH2009] Lunar Sea [OTR81] City Life [OTR81, NU2009] Nude [OTR81, NU2009] Drafted [OTR81, NU2009] Docks [OTR81, NU2009, REc] Beached [OTR81, NU2009, REc] Landscapes [OTR81, NU2009] Changing Places [OTR81, NU2009] Reflections [OTR81, NU2009] Captured [OTR81, NU2009, REc] Lies The Last Farewell [OTR81, NU2009]
NB: some listings include "The Birthday Cake" but technically that is a subdivision of "The Last Farewell"