VATEDU68000 | Local authority (LA) schools: who must register for VAT when there are taxable supplies not made by the local authority?
From HM Revenue & Customs · VAT Education Manual
It depends on the particular facts of the case. The registrable entity might be:
the governing body;
the head teacher acting as agent of the governors;
a parent-teacher association; or
some other body set up to run the particular facility or outlet.