Our branch of the Brougham family landed in Ireland because the Rev. John Brougham (1748-1811), needed to make an independent living. He managed to achieve one through an education, an early career as a priest in the Church of England, then an appointment as rector in the Church of Ireland.

Here, above, is where Rev. John Brougham attended school: Kings College, Cambridge. He graduated BA in 1771 and MA in 1775 and was a fellow of Kings from 1776 until 1778.

Here, above is where Rev. John Brougham had his early career: Ely Cathedral. On 24 February 1778 he was ordained deacon of Ely Cathedral and on 7 March he became a priest.
Seven years later, on 17 October 1785 he was appointed rector of Ballyhaise and Balleborough in the diocese of Kilmore, a living held in plurality, meaning that in exchange for his priestly services he could hold more than one benefice or source of income at a time. Ballyhaise was at the time an estate village, owned by the Taylor and Newburgh families. It was built to support what at the time Rev. Brougham arrived, was a failing linen industry.

Thus did our branch of the Broughams land themselves in Ireland in 1785 with a living from the Church of Ireland, entitled at the time, to revenues from: tithes, rentcharge, ministers’ money, stipends and other fees. They seem like solid members of the Protestant Ascendancy, a minority of landowners, Protestant clergy, and members of the professions, all members of the Established Church.
Rev John Brougham’s son, Rev. Henry William Brougham (1797-1831) followed his father’s profession as did his grandson, Edith’s father Rev. Henry William Brougham (1827-1913).

These guys bring to mind another Anglo-Irish clergyman from an earlier generation, Dr. Jonathan Swift, Dean of Dublin Cathedral who wrote:
I have been assured by a very knowing American of my acquaintance in London, that a young healthy child well nursed, is, at a year old, a most delicious nourishing and 60 wholesome food, whether stewed, roasted, baked, or boiled; and I make no doubt that it will equally serve in a fricasie, or a ragout.
Quote from A Modest Proposal for preventing the children of poor people in Ireland, from being a burden on their parents or country, and for making them beneficial to the public. A 1729 satire by Jonathan Swift.
We descend from three generations of clergy in Ireland. That would end with Edith Alice’s father.