Barnham Broom is a village and civil parish in the English county of Norfolk. The village is situated on the River Yare, 9 miles (15 km) West of Norwich and 4 miles (6 km) North-West of Wymondham. ~Wikipedia.
Still there, and at the time of the Google image taken in 2019 still a post office. This postcard may be from the 1930s; there is no postmark.
