In 1870-72, John Marius Wilson's Imperial Gazetteer of England and Wales described Broadway like this:
BROADWAY, a village and a parish in Weymouth district, Dorset. The village stands on the river Wey, near the Weymouth railway, 3½ miles N by W of Weymouth; and has a fair on the Wednesday before 18 Sept. The parish includes also Little Moor hamlet, and part of Nottington hamlet; and its Post Town is Radipole, under Weymouth. Acres, 1,029. Real property, £5,072. Pop., 614. Houses, 133. The property is much subdivided. Stone is quarried. The living is a rectory, annexed to the rectory of Bincombe, in the diocese of Salisbury. The church is good; and there are charities £9.
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 Broadway has changed, please see our redistricted information for the modern district of Weymouth and Portland. More detailed statistical data are available under Units and statistics, which includes both administrative units covering Broadway and units named after it.
GB Historical GIS / University of Portsmouth, History of Broadway, in Weymouth and Portland and Dorset | Map and description, A Vision of Britain through Time.
Date accessed: 20th January 2017
Click here for more detailed advice on finding places within A Vision of Britain through Time, and maybe some references to other places called "Broadway".