His problems were published as coproductions with Johannes Kohtz. For further information, see Johannes Kohtz#Kohtz and Kockelkorn.
In his early years he called himself Kannengießer after the name of his stepfather. Kockelkorn worked as a private tutor in Cologne.
- Herbert Grasemann: Eines Reverends Einfall, der Geschichte machte (reprint of articles from Deutsche Schachblätter). p. 16-17