rocking, rocking, rocking, in my little chair

rocking, rocking, rocking, in my little chair
rocking, rocking, rocking, in my little chair
in my red rocking chair
? ? ? ? ?
in my red rocking chair
? ? ? ? ?

My grandparents sang in to my mother in the 20's/30's and to me and my siblings in the 50's/60's. Does anyone know this song?