Green’s Dictionary of Slang

ameche n.

[proper name of actor Don Ameche (1908–93), who portrayed the telephone’s inventor, Alexander Graham Bell, in a 1939 biopic]

(Can./US) a telephone.

[US]Brackett & Wilder Ball of Fire [film script] sugarpuss o’shea: Do you know what this means – ‘I’ll get you on the Ameche?’ professor betram potts: No. sugarpuss o’shea: Course you don’t. An Ameche is the telephone, on account of he invented it.
N. Pepper in Baltimore Sun (MD) 20 Feb. A2/2: For Whom Does the bell Toll? — The new substitute for ‘Hello’ [...] on the Amerche.
[US]Wentworth & Flexner DAS.
[Can]W. Denton Twists, Slugs and Roscoes [Internet] Ameche – telephone.
North Country Times (CA) 22 Mar. n.p.: Don Ameche, who had just wrapped up his film role as Alexander Graham Bell, a role that led some to refer to the telephone as ‘The Ameche’ during the 1940s.
[US]T. Dorsey Cadillac Beach 189: ‘How’d you hear?’ ‘Jawed with him on the Ameche.’.