Robert Fripp and Brian Eno Nov. 1973 BBC

Broadcast on John Peel's Top Gear Show from London UK

01 - Swastick Girls.flac
02 - The Heavenly Music Corporation.flac

This recording has been on boots for many years.
I've never found anything official or reliable stating that they played for John Peel.
There is no reference to it in the book "In Session Tonight - The Complete BBC Radio 1 Recordings". Of course that book only covers performances SPECIFICALLY recorded for Radio 1 broadcast. They played many live things taped for other purposes. 

Take the titles with a grain of salt.
These were improvised pieces and any resemblance to the songs on "No Pussyfooting" is only coincidental.

Lineage: FM > unknown > cassette > CD-R > Appleworks > FLAC via xAct