The majority of schools in Ireland come under the patronage of a particular church with most coming under the patronage of the Catholic Church. However they are still funded by the State and must abide by the State curriculum.
The Gaelscoileanna may be denominational or they may be set up as limited companies.
Multi-denominational schools are set up as limited companies or they may be run by a board of trustees.
A patron may run the school personally or they may appoint a board of management to run the school.