I love this guy's work. It's a holdover from the illustration styles of the early part of the 20th century with a 20s touch - but it looked sharp through the 30s before it finally began to look archaic.
He was self-employed and worked at 75 East Wacker Drive in Chicago. Excerpts from the 1942 trade journal, Sales Management, article, "Alka-Seltzer's Glad Ad-Artist":
Thousands have chuckled over the doings and sayings of the big-headed little people in the Alka-Seltzer and One-a-Day Vitamins car card advertisements. Their creator, G.W. French, of Chicago, is just as colorful as they are, and he radiates the same cheerful optimism that characterizes them (except those among them who have not yet discovered the virtues of Alka-Seltzer).
Born on a Michigan farm, Artist French has never done any other work except drawing—first for newspapers, as a cartoonist, and later as an independent commercial artist. He started making the Alka-Seltzer drawings in 1934, adopting "large head, small body" figures, so that the "audience could see the facial expressions of the speaker." He writes the verses himself. The characters are everyday people in everyday situations.
Cartoonist French's philosophy is thus summed up in his own words: "I want my drawings to radiate happiness and to belittle distress. I want people to feel better just by reading them and looking at them…"
He was correct about that. I've clipped these from various sources; I'm certain there are many more.