hi,
have not found as much as I would like as the book I need is back in the library but
I can find no mention of barns court and think it must be Barrs court terrace.
In 1860 Barrs Court was a large house and country estate on the north-east
outskirts of the city, now completely consumed by the large railway complex
and new housing, but Barrs Court Road remains alongside the railway
In 1866 it was not within the city at all, as a map of 1861 shows this area as
mostly open country but the railway was being built directly alongside, and partly on,land belonging to Barrs Court House.
On the other side of the railway was the Hereford and Gloucester canal and canal wharves.
Barrs Court Rd can be seen on google maps and is on google street view.
Have you found your relative in the 1881 census as he may still be with his parents in the area.
regards and good luck
Mazi's oh