These are the Montague Almshouses; the older of the two sets of almshouses in Chepstow.
They were provided in the will of Sir Walter Montague who died in 1615.
These almshouses originally housed 5 men and 5 women. The property was rebuilt after the Second World War, preserving part of the original facade.

EllieGant
Pro
They look strangely modern - you wouldn't think that satellite dishes would be permitted on such venerable buildings.