It's Ardrossan North (Closed January 1932?) and Ardrossan Winton Pier. (Closed January 1987) that you are looking for.
As Chris999999 points out, Wikipedia is your friend.
If looking for old photos, don't forget that both these now closed stations would have had name changes over the years.
Ardrossan Winton Pier was previously known as Ardrossan Pier prior to 1924.
Ardrossan North previously known as Ardrossan Town before 1924 (there's been more than one) and before that Ardrossan.