I've corresponded with the fellow who is the current expert on Ingle tokens. He has copies of the ledgers the Ingle company made when shipping token (and other) orders. These records have proven attributions for a lot of Ingle tokens, but there are mysteries still surrounding many, including this one.
The Wagaman book has an awful lot of errors in it - Lloyd Wagaman did not have all the tools that are available to researchers today, so he could not prove attributions to the same degree that is expected today. He had a listing of known merchants and denominations at the time of his listing, 1987, and Dun and Bradstreet-type business directories for ca. 1909-1920. He painstakingly went through the directories and matched business listings with token inscriptions. Since the Ingle tokens were made in Ohio, and their marketing effort was concentrated on grocery stores, first there and later farther afield, he started out with the business directories from OH and worked outward. I cannot imagine how many long hours he spent on this project! But, when it came to something like a token that said "A. B. Smith", had he gone through the entire set of directories, he probably could have found dozens of matches. He, however, stopped at the first match that seemed logical to him. That has proven right in many cases, but incorrect in many others.
In the case of this particular token, Kitchen Club / A. E. F., the directories seldom show business names - they show the owners' names. So it is nearly impossible to figure all the people with initials A. E. F. in an appropriate business in the proper years. That is assuming that those initials are of a person. There is a chance like Don indicated that they represent something else. Unfortunately the "Ingle Shipping Records" don't show a match and other searches have not yet either. The search continues...
John in the Great 208