Bwahahaha turns out I do know that farmhouse, it's near my house. it's now called Homebridge Farm and it is technically in Ellistown. The parish is Ibstock.
Your Joseph Cooper in 1901 is living at Billabarrow, not Bills Arrow..... Billabarra Lane as it is now called is just off the A511, not far from the Flying Horse pub/restaurant. I have been there many a time, as there is a Miner's Welfare Club down there and my O.H. is an ex-miner.