Green’s Dictionary of Slang

(US) to work as a (shorthand) typist; thus stenogging n.

1906		‘O. Henry’ ‘Springtime à la Carte’ in Four Million (1915) 141: So, not being able to stenog, she could not enter that bright galaxy of office talent.
1917		O.O. McIntyre New York Day by Day 22 Sept. [synd. col.] Some of New York’s gushing sob sisters who prate about the trials and tribulations of a stenographer might get a new slant on stenogging.
1940		J.H. O’Hara Pal Joey 45: Every night when she got home from stenogging.