Hello Ann, without dates and possibe parents names it is neigh impossible, for early records we rely on church records so a religion is helpful. I had a look at the tithes applottments records online, register of taxpayers who held land and there are Hewitts in Cork, but again which one is yours if any as you had to hold over an acre, it is a free site http://titheapplotmentbooks.nationalarchives.ie/search/tab/home.jsp I notice a lot of them are in Corkbeg which is Whitegate when I searched or around Whitegate, not all of them but a lot, this is in east county Cork towards Waterford, largest town Midleton, famous now for whiskey production.
I also looked in Griffiths Valuation, a land survey done between 1848 and 1864 and is fairly detailed as regards maps etc however only gives head of house or land owner and tenant, there is a lot of Hewitt landlords in Cork I notice, again free here http://www.askaboutireland.ie/griffith-valuation/index.xml?action=nameSearch again a Thomas Hewitt is a landlord and appears to hold a lot of land in Cork. There are over 120 entries but not all different people as such but this Thomas man is a big landowner.
The church records for Cork are free online but records for the Church of Ireland (Anglican) were lost in the civil war, over 40% of them, Protestant marriages are recorded in the civil register from 1845 and all BMDs are on the civil records from 1864, most can be viewed free online here, click church for Cork records, you have to sign in but free. https://www.irishgenealogy.ie/en/
However Ann I am afraid to make a definite link we really need more information, all we can say from this is that there were Hewitt families in Cork and without knowing I would guess they are Anglican just from the name, biased by the fact I have a neighbour of that name but from Cavan, a good neighbour too.
You may find some local Facebook pages on the areas in question, usually private and apply to join, or try a general search of you could ask the Cork Library if they have any information on hte family name that ties to their occuppation etc
Good Luck
Pat