They are expected to sell for $6,000 but could fetch far more when they go under the hammer at Richard Winterton Auctioneers.
Rev Baines’ brother Michael, of Ashbourne, Derbys., said: “He [John] was fanatical about telephones.
"It is a complete mystery why he started – he should have worked for British Telecom."
Many of the phones were UK-manufactured, but there are also Belgian, Danish, Italian and American telephone designs.
Brands include GPO, Bell, Ericsson and Siemens Brothers.
Other items being sold include typewriters, a 1950s copying machine, computer equipment and a small archive of black and white photographs of telephonists dating back to the early 20th Century.
A spokesperson for the auctioneers said: "It is an impressive archive spanning a century of communication and encapsulating the history of telephone development and design.
"Telecoms enthusiasts and collectors, fans of retro design and anyone looking for original props for film, television or the stage will all find plenty to interest them."
The collection will go under the hammer in the Antique & Home Sale in Lichfield, Staffs., on October 6.
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