According to the liner notes of both Zombie Heaven and the 50th anniversary edition of Odessey and Oracle, fifty years ago to-day (16 August 1967), the Zombies recorded "Care of Cell 44" and "Brief Candles." The Zombie Heaven liner notes are a bit more detailed, specifying that "Care of Cell 44" had the working title "Prison Song" and that recording for the two songs also took place the following day (17 August).
Although I can't seem to find it again (maybe I just imagined it), I vaguely recall an interview in which Chris White said that the Zombies recorded the backing tracks for some of the Odessey and Oracle songs on one day and the vocal tracks on the next. I'm assuming that's the case here: the backing tracks were recorded on 16 August and the vocal tracks on 17 August.