Jody calls appeared in a WWII movie for the first time in "Battleground" (1949), set in Dec. 1944 during the Battle of the Bulge. A ridiculously young James Whitmore is the leader. (Not a bad film for its day.)

Solo: Hut hup areep hor! Hut hup areep hor!
      

        Solo: They signed you up for the length of the war!
        Cho:   I never had it so good before!
        Solo: The best you'll get in a bivouac
        Cho:   Is a whiff of cologne from a passing WAC!

        [Similarly:]        Sound off!
                       One two!
                       Sound off!
                       Three four!
                       Cadence count!
                One, two, three, four, one, two—Three four!

                 There ain't no use in goin' back
                 Jody's livin' in your shack!
                 Jody's got somethin' you ain't got!
                 It's been so long, I almost forgot!

                 Sound off! [etc.]

                 If I die in the combat zone
                 Box me up and ship me home!