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Police want to speak to a dog walker after a man was spotted with an imitation firearm.
A man was spotted with what was thought to be a handgun behind East Malling Institute, sparking a search of the area on July 30.
At around 10pm a 31-year-old local man was arrested and a fake Airsoft hand gun was seized.
Officers have now established a woman walking a dog in the area may have spoken to the suspect.
It is hoped the woman can come forward and assist Kent Police's investigation.
Anyone with information (including other potential witnesses) is urged to call the west Kent appeals line on 01622 604100, quoting reference 46/147021/19. Alternatively, contact the independent charity Crimestoppers anonymously by calling 0800 555 111 or using the anonymous online form at Crimestoppers-uk.org.