GCD to the rescue... maybe...
I did a writer search there for "Ogden Nash" and came up with
http://www.comics.org/issue/2281/ which is War Victory Comics #1 from Harvey in Summer 1942, but unfortunately there isn't a scan here of it.
So it's likely from a Harvey comic from 1942. Using the advanced search at the GCD gets this list:
US Harvey Champ Comics (1940 series) #17 February 1942US Harvey Champ Comics (1940 series) #18 May 1942
US Harvey Champ Comics (1940 series) #19 June 1942US Harvey Champ Comics (1940 series) #20 July 1942
US Harvey Champ Comics (1940 series) #21 August 1942US Harvey Champ Comics (1940 series) #22 September 1942
US Harvey Champ Comics (1940 series) #23 October 1942
US Harvey Champ Comics (1940 series) #24 December 1942
US Harvey Green Hornet Comics (1942 series) #7 June 1942US Harvey Green Hornet Comics (1942 series) #8 August 1942
US Harvey Green Hornet Comics (1942 series) #9 October 1942
US Harvey Green Hornet Comics (1942 series) #10 December 1942US Harvey Pocket Comics (1941 series) #4 January 1942US Harvey Speed Comics (1939 series) #16 January 1942
US Harvey Speed Comics (1939 series) #17 April 1942US Harvey Speed Comics (1939 series) #18 May 1942
US Harvey Speed Comics (1939 series) #19 June 1942
US Harvey Speed Comics (1939 series) #20 July 1942US Harvey Speed Comics (1939 series) #21 August 1942US Harvey Speed Comics (1939 series) #22 September 1942
US Harvey Speed Comics (1939 series) #23 October 1942US Harvey Speed Comics (1939 series) #24 December 1942US Harvey War Victory Comics (1942 series) #1 Summer 1942
I've bolded the ones that have scans here.
Hope this helps!
Peter
p.s if it isn't indexed at all at the GCD, it wouldn't come up on this list of comics from 1942....