Meaning of an Endowed Primary School

[Verbena37]

Hi, even having googled the meaning of Endowed school, I still haven't found the exact meaning.
Is it a church school or just that the building and land is owned by the church but ran by the LA?
My main query is who owns the building and land of an endowed school.

They're usually owned by the board of trustees.

www.churchofengland.org/education/church-schools-academies/staffing-governance/capital-premises.aspx

Thank you.
So the original school...let's say set up in the 19th century, was given to the church trustees to maintain. But they literally own the land and building.....it isn't a church C of Eschool, integrated with the church?

So the local authority literally run the education side of things but have nothing to do with the maintenance of building and land?

Does that sound about right?