I appreciate Beekes work on the Puritans and family worship, and I see Westminster down there lol, the rest of these, not familiar with. If i remember correctly, Covenant Children doctrine is the idea that children are elect according to the promises of raising them in the nurture and admonition of the Lord and their baptism? I remember presbs emphasized baptism more thoroughly than the credo position. Im sure its much more in depth than that, its been a while