The only report that can be found about the actual concert comes from the Echo newspaper who reported this about the Beatles in concert:
The biggest roar of the evening was for Ringo and his solo spot. He could be heard--just. Certainly, the Beatles give full value for money these days. Their 20 minutes was crammed with top numbers--no hip twitching, no histrionics, no pandering to the jungle instincts of the little girls.
And so the concert during the 1964 UK Autumn tour in Southampton remains a mystery and just another stop on a hectic schedule.