Thanks for your help and suggestions folks! Thanks Mattylad and Snowy! I found the map at
http://www.daleeccles.net/burnley_map.htm which is a copy of Fishwick's Map. Whether better or worse I don't know!! Incidentally, I think the the race course you mention was Healey Heights Race Course at the top of Healey Heights, covering roughly the area of the present Rosehill Estate between Rosehill Road, Glen View Road and Reynolds Street to the Rose and Crown and along the line of the present Rosehill Avenue - not exactly Flat Racing!!
Wayneyboy - I just like redrawing old maps

- used to be a professional in my younger days!!