The townland name is an anglicisation of the Gaelic placename "Mullagh an Acre" which means ‘The acre of the summit’. In the 17th century it formed part of Carrowmore, County Cavan townland.
It is bounded on the north by Legavreagra townland, on the east by Carrowmore, County Cavan townland, on the south by Mullanacre Lower townland and on the west by Clontycarnaghan, Corneen, Gortnavreeghan, Brackley, Templeport, Mullaghlea, Finaghoo, Cullion, Sralahan and Aghakinnigh townlands. Its chief geographical features are Loughan Macmartin mountain lake, Miles’ Lough mountain lake, the Crooked River (Ireland), forestry plantations and Slieve Rushen mountain, on whose southern slope it lies, reaching an altitude of 1,324 feet (404 m) above sea-level. It forms part of the Slieve Rushen Bog Natural Heritage Area 
The townland is traversed by minor lanes.
The townland covers an area of 552 statute acres, including 1-acre (4,000 m2) of water.
It formed part of the Manor of Calva which was granted to Walter Talbot in 1610 as part of the Plantation of Ulster.
The Tithe Applotment Books for 1827 list the following tithepayers in the townland- Henderson, Patterson.
The Ordnance Survey Name Books for 1836 give the following description of the townland- "Mullan-acre Upper which means 'acre of the summit'. This in old times was part of Carramore. North-west of parish. Property of Montgomery. Only 5 acres are arable, the rest are mountain. No house nor road. Substratum limestone."
The 1841 Census of Ireland gives a population of 49 in Mullanacre Upper, of which 27 were males and 22 were females, with 10 houses.
The 1851 Census of Ireland gives a population of 53, an increase of 4 on the 1841 figure, which was unusual after taking into account the intervening Irish Famine of 1845-47, of which 27 were males and 26 were females, with 9 houses. The increase was larger in the female population.
A deed dated 1 April 1854 now in the Cavan Archives Service (ref P017/0063) is described as-
Lease made between William Hamilton Enery, Ballyconnell House, County Cavan, esquire, and Owen Magauran, Carramore, County Cavan, in respect of part of the lands of Mullanacre Upper (Mullinacree Upper), parish of Tomregan, barony of Tullyhaw, County Cavan. Bounded on the north by the large mountain, on the south by the river separating it from Moher, on the east by the river separating it from Carramore and on the west by the road leading to the mountain. Contains 20 acres late Irish plantation measure. Lease to run for the natural lives of Victoria Adelaide Mary Louisa, Princess Royal of England, and Albert Edward, Prince of Wales, or term of 31 years, whichever is longer. Annual rent of £3 sterling. Magauran covenants to do suit and service at the Manor of Gwyllym Brooke and perform all lawful customs associated with the Manor.
There are no historic sites in the townland.
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