Only thing I can figure is this: 11:28 ---1 (for the 10th place in the hour) 1 + 2 + 8 = 11. Put them together: 111
11:37 -- 1 (for the 10th place in the hour) 1 + 3 + 7 = 11. Again, put them together: 111.
Seems a bit of a stretch, and as far as the divine intervention, 111 represents the Holy Trinity,. (Father, Son, Holy Spirit)
Like I said, that's a loooong stretch to make that work. Might as well have counted the number of buttons on somebody's shirt.