In newspapers from the early 1800s, they are everywhere. Individual proprietors advertised their services to the population of cities. Parents and children could slap together as much education as they could afford, with rates published up front. It might sound like a purely private, market-driven system, but the fine print shows it wasn’t that simple.

From Freedom’s Journal (New York), October 17, 1828
In this case the school was for African-American kids in Philadelphia, c. 1828. As I’ve argued recently in the Washington Post, I think conservatives who dream of injecting more market forces into public education don’t really understand how things worked back when the market WAS in control. As I dig through the newspapers and records of African-American schools in the early 1800s, it is obvious that tuition payments alone could not provide the schools kids needed.
Sure, some families likely thrived with schools like these, but even these “private” academies relied on public funding. As you can see in this advertisement, Philadelphia’s Academy didn’t survive on tuition alone. It also received
liberal patronage from a generous public.
Over time, that patronage evolved into reliable, secure tax funding. Then and only then were schools able to flourish, for both white and black students. When people these days yearn for public schools that don’t rely entirely on tax funding, they don’t seem to realize what they are asking for.
In the bad old days of early public schooling, schools like the Morris’ Alley Academy were forced to cobble together funding from all over the place. I think if Gloucester and Jones could sit down with DeVos and Friedman, they would set them straight.