First created in 1295 when Sir Walter de Fauconberg, an Anglo-Norman, was summoned to parliament, between 1463 and 1903 the peerage title fell abeyant until its abeyance was terminated in favour of The Hon. Marcia Lane-Fox, Baroness Fauconberg and Conyers, who succeeded her father, Sackville Lane-Fox.
After the abeyance of 1463 the right to the barony of Fauconberg which resulted in the termination of 1903 was held jointly with the barony of Conyers; and, since then the two baronies have followed the same line of succession, including further abeyancies between 1948 and 2012 and from 2013.
The Countess of Yarborough predeceased her husband in 1926 when her family titles were inherited by her eldest surviving son, Lord Conyers (later 5th Earl of Yarborough). On his death in 1948 these ancient baronies again fell abeyant, between his two daughters as co-heirs, whilst the earldom was inherited by his brother.
Following the death of the younger of Lord Yarborough's daughters in 2012, the titles were called out of abeyance in favour of his surviving daughter, Lady Diana Miller (later Countess of Mértola), 9th holder of the barony of Fauconberg and 16th of Conyers. Since Diana, Countess of Mértola's death in 2013, both titles have fallen back into abeyance, with the elder son of her younger daughter, Guy Armstrong (born 1996) being heir-in-line.
A descendant of the 1st Baron Fauconberg (by Writ), Sir Thomas Belasyse, 2nd Baronet, was elevated to the peerage as Baron Fauconberg, of Yarm in the County of York, in 1627; his grandson was advanced as Earl Fauconberg in 1689. For more information on this creation, see Viscount Fauconberg.
The co-heiresses to the title are the two daughters of Lady Diana Miller, also Baroness Fauconberg and Conyers, The Hon. Marcia Anne Miller now Anthea, Countess of Mértola (born 1954), and The Hon. Beatrix Diana Miller now The Hon. Mrs Armstrong (born 1955), who married in 1991 Simon Armstrong; they have two sons.