The Report on Public Credit was issued by Alexander Hamilton was a way to encourage the American Economy for the benefit of commercial and industrial interests. He argued for the full funding of the national debt and assumption of state debts that occurred during the War of Independence.
But the problem was that most of the national debt was domestic debt that was owed to American patriots who supported the War of Independence through loans. Many of combat veterans were paid with certificates of indebtedness that would be redeemable when the government fiscal order had been restored.
But many veterans needed the money and relinquished their certificates to speculators at reduced rates. Hamilton defended that the payment should be done to the current holder of the certificate.
Public school is paid through taxes. Everyone pays taxes, and some of those dollars go into public education. Private schools do not receive any government funding but are funded through tuition Most private schools have tuition assistance programs and offer monthly payment plans.