Photo credit: Ingestre Hall Residential Arts Centre
The Palladian-style house featured in this painting is the 1755-built mansion known as Beauparc, and is in Co. Meath, Ireland. It is the ancestral home of Charles Lambart (sic), Esq., whose daughter, Frances Thomasine Lambart, married, on the 20th August 1800, the Hon. Earl Talbot. (See attached genealogy and the links below)
The painting is referred to in the 1953 edition of the Collections for a History of Staffordshire, where it is attributed to ‘P... C…’ and dated c.1810. (See attached)
Frances Thomasine died at the Viceregal Lodge (now the residence of the President of Ireland) in Dublin's Phoenix Park, on the 13th December 1819. See ‘The Annual Biography and Obituary for the Year 1821: https://bit.ly/38K3jEa
The house is referred to as Beauparc or Beau Parc (but not Beau Park), and is currently the home of Lord Henry and Lady Iona Mountcharles. The couple also own Slane Castle in Co. Meath.
The collection has no further information and will not be removing it from the wall to inspect the back. The lower corners of the painting are quite dark and indistinct in the PCF image, which just becomes fuzzy and muddled when enlarged.
Thomas Roberts (1748-1778) painted "View of Beauparc from the Boyne", so could the artist in this case be his younger brother, Thomas Sautelle Roberts (1764-1826)?
Roberts senior's view was engraved by Thomas Milton in 1785 [impression in the National Gallery of Ireland 20277]
The suggestions are interesting but obviously do not fit in with the P. C. initials. Here is Roberts' painting:
Jonathan Fisher exhibited View of Beauparc at the Society of Artists in 1766
Pierre Charles Canot executed engravings after some of Fisher's landscapes
Could this painting be as early as the 1770s?
Thomas Roberts was one of three Irish and two English landscape artists whose paintings were engraved by Thomas Milton for his much admired 'The Seats and Demesnes of the Nobility and Gentry of Ireland 1783-93'. See https://www.deburcararebooks.com/product/books/history/milton-thomas-the-seats-and-demesnes-of-the-nobility-and-gentry-of-ireland/
Roberts and William Ashford seem to have favoured hiding their houses behind trees to give prominence to the wooded landscape, as in Roberts' 'Beauparc' (engraved as the 11th plate in the publication and published in 1785).
All three Irish painters painted other houses in Ireland. There is a strong similarity in composition belween Ashford's 'Dun Ran' the 24th plate, published in 1793 and the Ingestre Hall painting of Beau Parc. For Dun Ran see https://www.britishmuseum.org/collection/object/P_1878-1214-607
I would consider William Ashford and Thomas Roberts strong contenders for the authorship of this picture.