As highways were the responsibility of the Highways/Surveyor's Department of Derbyshire County Council, and presumably the Taddington By-pass was constructed between the two world wars, along with much other needed road construction at this time around the UK, e.g. The Winchester By-Pass being the first ever by-pass constructed in England in the 1930's; why don't you pay a vist to the Derbyshire Record Office at Matlock to see if any of the County Surveyor's Department's records that could give you a clue as to where the stone was purchased have been placed there? Prior to 1956 Derbyshire County Council with all it's departments was sited in St. Mary's Gate, Derby and moved to it's present location at Smedley's Hydro, Matlock during that year. The DRO is found in New Street, Matlock in the old Ernest Bailey buildings. Just a suggestion!
p.s. AR - similarly the quarries in the southern part of the Peak, i.e. Cawdor quarry, Matlock, the opencast on Masson Hill, all those in Matlock Bath, the Via Gellia etc were all carefully excluded outside the proposed Peak Park Boundaries. I worked in the DCC's Architect's Department at the time the Peak Park came into being and I clearly remember the Chairman of the Directors of Derbyshire Stone Ltd., presenting a brand new chain of office to the then Chairman of Derbyshire County Council who was Charles White from Starkholmes and who incidently was the person who instigated the move of the County Council from the County Town which is Derby to Matlock.