This first station lay not on the main line, as is the case with the currently open Cleland station, but on the line of the CR Cleland and Midcalder Line. (Have a look at the Wikipedia line template for that railway which shows its position)
Not often we have two consecutive closed station submissions made subject to query.
Perhaps you know of a direct route from Holytown (1st station) to Cleland (1st station) that I am unaware of, as after Holytown (1st station) my route carried on down the main line via:- Motherwell............open station Flemington...........closed station Wishaw South.......closed station Overtown..............closed station (closed in 1881)
Then we arrive at the closed station of Holytown (1st station)
Apologies, the problem was that nowhere could I find the location of Holytown (1st station) and I made the wrong assumption. Having got us into this mess, I had better try to find the way out... even more tentatively ...