Burbage Brook is a river in Padley Gorge, Derbyshire, England, situated close to Sheffield.It is a tributary of the River Derwent. The source of the brook is on moorland to the north of the brook's valley. The water enters Burbage valley at the Upper Burbage Bridge.53°19′21″N 1°36′33″W﻿ / ﻿53.32250°N 1.60917°W﻿ / 53.32250; -1.60917.he source of the brook is on moorland to the north of the brook's valley. The water enters Burbage valley at the Upper Burbage Bridge. 53°19′21″N 1°36′33″W﻿ / ﻿53.32250°N 1.60917°W﻿ / 53.32250; -1.60917.