We (Washington DC, early 40's) sang more or less this version given by Sandy: U.S. Midwest, 1940s:
One, two, three a'leary,
Four, five, six a'leary,
Seven, eight, nine a'leary,
Ten a'leary, POSTMAN!
But I think we sang o'lairy, not a'leary, hard to tell now because I've heard it several ways. My memory may be playing tricks, but we may have bounced the ball hard on the ground twice on POSTMAN.