If you put the word "knitting" into the search box at the Levy Collection, you'll get 21 documents. The first five of them are:
(1) Title: Knitting Song.
Composer, Lyricist, Arranger: Written and Composed by Muriel Bruce and Baron Aliotti.
Publication: New York: Chappell & Co., Ltd., 41 East 34th St., 1915.
Form of Composition: strophic with chorus
Instrumentation: piano and voice
First Line: Marching, marching thro' the misty night, peering thro' the dark
First Line of Chorus: Knitting, knitting, knitting, with the Khaki wool and grey
(2) Title: Knitting Song.
Composer, Lyricist, Arranger: By Floy McGlashan.
Publication: Sedalia, MO: A.W. Perry's Sons, Music Publishers, 1918.
Form of Composition: strophic with chorus
Instrumentation: piano and voice
First Line: We have joined the Red Cross Army with its thousands thousands strong
First Line of Chorus: We are knitting, knitting, knitting all the day

(3) Title: Stick To Your Knitting.[no images given--MS]
Composer, Lyricist, Arranger: Book & Lyrics by Wm. Carey Duncan and Oscar Hammerstein II.
Music by Vincent Youmans and Herbert Stothart.
Publication: New York: Harms, Inc., 1923.
Form of Composition: introduction and refrain
Instrumentation: piano and voice
First Line: I'd knit and knit till it seemed like "Kingdom come"
First line of refrain "Just you stick to your knitting, dear, and the hours will run"
(4) Title: There's a Girl Who Is Knitting for You. [Note the entire proceeds from the sale of this Song go to the American Red Cross].
Composer, Lyricist, Arranger: Words by George Hopkins.
Music by Florence Mills Nixson.
Publication: n.p., 1918: , .
Form of Composition: strophic with chorus
Instrumentation: piano and voice
First Line: Ev'ry girl, ev'rywhere who is not over there
First Line of Chorus: There's a girl who is knitting for you
(5) Title: I'm Knitting a Rosary.
Composer, Lyricist, Arranger: Words by Robert Levenson.
Music by Vincent Plunkett.
Publication: Boston: D.W. Cooper Publishing Co., 224 Tremont St., 1918.
Form of Composition: strophic with chorus
Instrumentation: piano and voice
First Line: Sitting in the twilight, knitting in her hands
First Line of Chorus: I'm knitting each day for you, while you're across the sea

~Masato, who knows none of them.