Children baptized in the OT?

Moreover, brethren, I do not want you to be unaware that all our fathers were under the cloud, all passed through the sea, all were baptized into Moses in the cloud and in the sea. -I Corinthians 10:1-2

Just as an appetizer before we dive into the main course of answering the question, "Does Scripture support including children into the Covenant Community (through Covenant Baptism) I want to submit the there is in fact Scripture that explicitly states that the children passing through the Red Sea, were at least in some sense "baptized".  They were so of course via their Father and Mother's faith to believe God through Moses and cross between the frighteningly high and deafeningly noisy walls of parted waters into safety.  

In short, yes, there are Scriptures where children were baptized via the faith of their parents in trusting God.

Next we will have a three-course meal on Scriptures that speak to children being included in the New Covenant in similar ways to the Old.