I was primarily interested in the sidings where Trains 101 and 108 (the weekday 'reverse commute' trains) had meets between Gray Oaks and Beaver Hill, the portion I would've ridden (if I had been around back then). I didn't mean to suggest those were the only sidings where passenger trains could meet. Here's a scan of some of the sidings listed from ETT No. 55. I underlined the ones I referred to:
Btw I noticed in the 1942 ETT the morning train, No. 101, now departs Gray Oaks at 7 12 AM EDST and arrives Beaver Hill at 7 44 AM. I guess it ran a few minutes earlier in 1942 because it had gained a meet with Train 124 (shown as either Chauncey or Ardsley) in addition to Train 154 at Mt. Hope. Back in 1932 Train 124 was not on the schedule.
At night 'my' train 108 still arrived Beaver Hill at 5 51 PM (after a meet with 157 at Eastview) and then met 159 at Elmsford. However arrival time at Gray Oaks was slightly earlier at 6 081/2
PM versus 6 12 PM in 1932, because the meet with Train 107 had been moved to Nepperhan, the next station south (east).
Now if somebody would finally invent that time machine we could all meet at Sedgwick Avenue and go for a ride!