Try this:
SELECT PORC_records.record_number, PORC_records.sendto_second_round, PORC_records.species_number, PORC_Votes_record_number, PORC_Votes.round1_class, PORC_Votes.round2_class, PORC_Votes.member_name, PORC_Votes.batch_date, PORC_Votes.batch_date2, aou_list.SPNO, aou_list.CommonName
FROM PORC_Votes
INNER JOIN PORC_records ON PORC_records.record_number = PORC_Votes.record_number
INNER JOIN aou_list ON aou_list.SPNO = PORC_records.species_number
WHERE PORC_Votes.batch_date = ? OR PORC_Votes.batch_date2 = ?
ORDER BY PORC_Votes.record_number