[D-fendr]

I can be reasonably assurred that my children are part of His family, too.

I wasn't aware that was part of TULIP, or at least your views. Sorry.

Is the reverse true for children born to the non-elect?

[Dr. Eckleburg]

TULIP is not the whole of Reformed theology. The Bible is. As I'm sure you know, TULIP was merely a response to the incorrect five-pointd doctrine of the Remonstrants.

Is the reverse true for children born to the non-elect?

God saves whom He will. The parents of the thief on the cross could well have been unbelievers, but God chose to save him and take him to heaven with Him the very day he died.