Possibly named after the house Lismoyne which was situated on the west bank of the Lagan in the townland of Malone Upper, almost opposite the village of Edenderry. This house, originally called Newbridge, was considerably enlarged and renamed by the banker Robert Callwell in the late 18th century. It was drawn by Joseph Molloy for his collection Belfast Scenery in Thirty Views (1832, Plate XVI), where is named "Lismoine, seat of Robert Calwell Esq." This Robert was a descendant of the man referred to above.
However, it is noticeable that Lismoyne occurs in England as the name of several houses and a hotel in Fleet, Surrey. This hints at a possibilty that the name has some other resonance which eludes us so far. Also the motivation for this choice of street name at this location in North Belfast is unclear. It appears to be thematically linked with Coolmoyne Park, situated nearby.
"The City Surveyor reported that he had been in communication with the owners of property in new street off North Circular Road, and submitted list of suggested names for the street, and the Sub Committee, having considered same, approved of the name Lismoyne Park". (8th September 1931).