While I cannot offer any extra evidence about what happened to the crew, I can offer an anecdote about the combat.
My uncle Bill 'Tommy' Tucker, who was an inspector at Supermarine and lived in Braishfield which is just to the south of Kings Somborne, told me that he was on nights and witnessed a Ju 88 being shot down by a Spitfire from the back garden during the Battle of Britain and that the Spitfire pilot subsequently did a victory roll.
Andy Saunders shows that the Ju 88 had routed via Salisbury and Romsey, which is only a couple of miles from Braishfield. So this is likely to be the same event, as the Spitfires came from Middle Wallop.
Apparently the locals took great delight in recovering souvenirs and in the pub someone was showing off a flying boot with a foot still in it.
It would indeed be good if this mystery can be solved and the crew given marked graves.
RD