My mum went to a Brigidine boarding school in Ireland many, many years ago...
Here is the website of the school.
Here is their Independent Schools Inspectorate Report.
They may well have some sort of endowment that enables them to give out bursaries and scholarships, and they mention in their newsletter that they have reduced fees this year. Perhaps a big bequest? Or maybe the order sold off land or property?
Newsletter.
It is a small school with 250 students in total, both primary and secondary. I think this sounds lovely myself.
However, with such a small school, it's difficult to do much in the way of extra curricular activities, particularly sports and drama -- but the ISI report says they are doing pretty well except for opportunities for the senior girls.
One thing that would give me pause (mentioned in the report) is that parents do not seem to feel welcome to participate in school life although ISI says there seem to be opportunities for them to do so. This is sort of a characteristic of Irish teaching order schools, and even teaching orders that operate in Ireland that are staffed or run by Irish nuns. I know there are probably very few nuns (if any) now involved in the school, and there is a board of governors, but the ethos of schools that Irish nuns have any input into is -- thank you parents, we will take it from here. While there may well be opportunities to participate and have some say in the school, the bottom line often is that your opinion will be duly noted and the management will not take much notice.
This is a 'school culture' issue that can have concrete ramifications. I would try to talk with parents if I were you, to try to get to the bottom of the feeling you have. If the school doesn't have any names for you to contact to talk about the school, I would be a bit 
. Maybe you could approach someone at the school gates and just ask...
The danger of this is that fundraising is not accomplished to the limits of its potential, communication between school and parents is often of the drip feed variety, and parents are just expected to support the school, send their children off prepared to learn every morning and produce the required homework the next day -- the latter is not necessarily a bad thing and students tend to be well motivated, which makes for a nice atmosphere and classes that are rarely disrupted, but it also means that there might not be much of a feeling of being part of a team.
The convent school my niece attends in Dublin is a thriving concern but there is a persistent niggle of concern arising from that sort of feeling that parents' input and involvement is not really welcome, despite what may be the case on paper.