I have the following in that area on that date (most of this from assorted Air Britain publications…)
09-09-40 P2765 Hurricane 1,605 Sq,shot down over Farnborough.cr at Straits, Kingsley.
09-09-40 L2057 Hurricane 1,605 Sq,Shot down and cr near Alton.
09-09-40 L2059 Hurricane 1 ,605SQ,mid air collision with HE111 over Farnborough.
crashed Farnborough.pilot killed
09-09-40 2630/A1+ZD He111 H-2,StabIII/KG53,mid air collision with 605Sq Hurricane,
cr Southfield Farm, Chawton