Phil -
The article mentions the demise of rail service to St. Andrews (now take a taxi from the Leuchars rail station) and Turnberry.
On the west coast of Scotland, you can reach Irvine, Glasgow Gailes, Western Gailes, Kilmonock, Royal Troon, Prestwick & Prestwick St. Nicholas in 35 to 50 minutes by train from Glasgow Central Station.
DT