Andrew,
Quote:
One thing is puzzling me, was the form delivered to the recipient together with the telegram,
and can I presume the form was not returned to the post office?
This is also puzzling me...
The word in the form title, "Tan-Mon" (the third and forth characters from right) means "to investigate and inquire", and also noticing the form asking to inquire any inconvenience on delivery, I reckon this is a sort of customer questionnaire and should have been delivered to the recipient after the telegram has been delivered.
And in order to confirm that this guess is plausible, I've done a time line analysis of the telegram and the form. Here's my results:

Through observation of the telegraph and the form, we can confirm that;
(1) the recipient's address is "south, Moto-Seiganji-dori, Inokuma-dori", which means the "south corner / area of the crossing of Moto-Seiganji street and Inokuma street" (this is a typical way of describing the address in Kyoto city) (with high confidence),
(2) the telegram has arrived the delivery post office (Nishi-Jin PO) at AM 9:06 (with high confidence)
(3) the form says that the "estimated delivery date and time" to be Jan 31, PM 9:13 (this with less confidence as the hand script is pretty hard to decipher)
(4) the date stamp on the form says that the delivery time is PM 1 - 2 (high confidence)
Now the question : "Can a telegram be delivered to the recipient within 7 minutes or so after arrival ? "

Assuming the location of Nishi-Jin post office is the same as today, the estimated distance from the post office, the distance to be delivered is approximately 600m on the map. Assuming the average walking speed of adult person to be 80m/min, that distance is equivalent to about 7min and half. Thus if rushed (and I assume there were less traffic at that time) it would be theoretically possible to deliver the telegram within 7 minutes or so, and that makes the quickest delivery time to be 9:06 + 7 min = 9:13

And noticing that the delivery time of the form is PM 1-2, the form should have been delivered AFTER the delivery of the telegraph.
The recipient might have been a bit lazy to answer the questionnaire and have kept it with the telegram.
Well, this was another fun for me. Thanks for the puzzle

- Hironobu