In 1887, John Bartholomew's Gazetteer of the British Isles described Muirkirk like this:
Muirkirk, town and par., E. Ayrshire - par., 3029 ac., pop. 5123; town, on river Ayr, 26 miles E. by N. of Ayr, 50 miles SW. of Edinburgh, and 58 miles SE. of Glasgow by rail, pop. 3470; P.O., T.O., 1 Bank; abounds in coal, ironstone, and limestone, and is the seat of an extensive iron manufacture.
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 Muirkirk has changed, please see our redistricted information for the modern district of East Ayrshire. More detailed statistical data are available under Units and statistics, which includes both administrative units covering Muirkirk and units named after it.
GB Historical GIS / University of Portsmouth, History of Muirkirk in East Ayrshire | Map and description, A Vision of Britain through Time.
Date accessed: 04th July 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 "Muirkirk".