At a business, a secretary, almost always a woman, would answer the phone for all calls. There were no direct lines into anyone. If you were in she would transfer the call to your office. If you were out she would use this pad to take messages. When you came back in to the office you would always stop at the front desk and you would be handed your messages.
Fun fact: The last Western Union Telegram was sent in 2006.
(I realize that’s not the same as a telegraph slip.)