In 1870-72, John Marius Wilson's Imperial Gazetteer of England and Wales described West Woodyates like this:
WOODYATES (West), an extra-parochial tract in Wimborne district, Dorset; 3¼ miles NE by N of Cranborne. Acres, 1,290. Pop., 20. Houses, 2.
A Vision of Britain through Time includes a large library of local statistics for administrative units. For the best overall sense of how the area containing West Woodyates has changed, please see our redistricted information for the modern district of East Dorset. More detailed statistical data are available under Units and statistics, which includes both administrative units covering West Woodyates and units named after it.
GB Historical GIS / University of Portsmouth, History of West Woodyates in East Dorset | Map and description, A Vision of Britain through Time.
Date accessed: 14th October 2015
Click here for more detailed advice on finding places within A Vision of Britain through Time, and maybe some references to other places called "West Woodyates".