The Handkerchief Force is a Card Force done while the cards are under a handkerchief.
The first description of this force was published in the book "Tricks by Winners, Batavia Convention 1934" (published in 1934) under the title The Will De Sieve Card and Envelope Mystery.
Others that have been credited were Sam Durborow (Cf. Bart Whaley) or Lord Amwell (Cf. Waters). Due to a typo in the Potter's Index, Bart Whaley wrote in his book The Encyclopedic Dictionary of Magic that Sam Durborow published in 1933 the first description of the Handkerchief Force BUT The Linking Ring, Vol. 33, no. 7 of September was published in 1953.
T.A. Waters' reference is in Encyclopedia of Magic and Magicians published in 1988.