At about 9am on Friday (January 11), the drivers of a silver Ford Galaxy and a green MGF got into a slanging match in Murray Road, Woosehill.
The drivers then drove off, with the Ford Galaxy following the green MGF to Nine Mile Ride, Finchampstead, where the MGF stopped.
Both drivers then got out of their cars and began arguing again, which led to a fight between the women. No-one was injured.
Police are keen to speak to anyone who witnessed either incident. The driver of the Galaxy is white, in her late thirties, around 5ft 3ins, medium build, and was wearing a dark coloured gilet, black leggings, and Ugg-style boots.
The driver of the MGF is white, in her mid to late thirties, with shoulder-length light brown hair, and was wearing a long beige coat.
PC Russell Davies, investigating the incident, said: "We have spoken to the women involved in this altercation but are keen to speak to any independent witnesses who saw the incident in Murray Road or Nine Mile Ride."
Thames Valley Police is appealing for witnesses following the incident.
Anyone with any information should contact PC Davies via the 24-hour Police Enquiry Centre on 101.
If you don't want to speak directly to the police, you can contact the independent charity Crimestoppers anonymously on 0800 555 111 or online at crimestoppers-uk.org. No personal details are taken, information is not traced or recorded and you will not go to court.