This Old Man with Arrays

 This old man, He played 1
 He played knick-knack on my thumb
 ...with a knick, knack, paddy-whack
 give a dog a bone
 This old man came rolling home 

  This old man, He played 2
 He played knick-knack on my shoe
 ...with a knick, knack, paddy-whack
 give a dog a bone
 This old man came rolling home 

  This old man, He played 3
 He played knick-knack on my knee
 ...with a knick, knack, paddy-whack
 give a dog a bone
 This old man came rolling home 

  This old man, He played 4
 He played knick-knack on a door
 ...with a knick, knack, paddy-whack
 give a dog a bone
 This old man came rolling home