Final answer:
Shel Silverstein, born in 1930 in Chicago, is famous for his children's books 'The Giving Tree' and 'Where the Sidewalk Ends' and also worked as a cartoonist and musician.
Step-by-step explanation:
The American writer and illustrator in question, born in Chicago in 1930, is none other than Shel Silverstein. He is well-known not only for his unique cartoons created for a military publication during his stint in the army but also for his talents as a musician. However, Silverstein's lasting fame primarily stems from his beloved works for children which include titles such as The Giving Tree, Where the Sidewalk Ends, A Light in the Attic, and Falling Up. His poems like Sick and Sarah Cynthia Sylvia Stout remain favorites among young readers for their humor and wit. Silverstein's creative contributions have left a significant mark on children's literature.