According to the liner notes of both Zombie Heaven* and the 50th anniversary edition of Odessey and Oracle, fifty years ago this month (July 1967), the Zombies recorded "Beechwood Park," "Maybe after He's Gone," and "I Want Her She Wants Me." Because Abbey Road was booked, these sessions were held at Olympic Studios. According to the liner notes of the 50th anniversary edition of Odessey and Oracle, the sessions' being held at Olympic Studios is the reason precise dates aren't available.
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*In the track-by-track section, the Zombie Heaven liner notes list "July or August" for these three songs, but in the chronology, they're all listed under July.