For purely selfish reasons (considering we can only change one result in this hypothetical jaunt) I would have to go for the CIS League cup final as I have been fortunate enough to see us win the Scottish Cup.
@splstats has got back to me. He also uses the Londonhearts site as a reference but also uses this http://www.statto.com/football/stats/scotland/division-one-old/1956-1957/results/1956-10 which seems to confirm we did not play in the 5th scheduled week.
Seems to be a week missing on the site you have linked to!
ETA: I've let @splstats know of your post and I'll let you know when he replies (assuming that he's not already a member here!)
Aberdeen & Sevco we can take care of. Celtic may be the only one of the three that may defeat us. Hopefully they concentrate on Europe and we can extend our lead!
I remember a game where we did it for ages, pretty sure it was at Tannadice and when he let in a goal the Dundee U fans started chanting it back at us!
I'm sure I seen somewhere that that the program starts at 1900?
It was a BBC journo that gave the KO time of 1915
BBCchrismclaug
BBC Scotland will show #Rangers v #Motherwell live on Wednesday Sep 26th KO 1915. #ScottishCommunitiesLeaguecup
Also the clubs official twitter gives a ko time of 1915.