Glen Ebor Heights takes its name from Glen Ebor House and lands. The house was designed by architect Thomas Jackson and built in the 1850s for merchant Jonathan Cordukes. This house is now called Hampton and has recently been restored. It is located uphill and SE from Glen Ebor Heights. The element Ebor in the name seems to be a reference to the city of York, called Eboracum in the Romano-British era. However, the explanation may simply be that Cordukes lived in York Street, Belfast, prior to this and had business premises there. Jonathan Cordukes is recorded as residing at "Glenebor" in the Belfast and Provincial Directory for 1863-4 (Village Directory section, Sydenham or Strandtown).
The Northern Whig of Friday 26 October 1866 carried an advertisement for the sale of the house and lands which were the property of the late Jonathan Cordukes. The 1843 Belfast/Ulster Street Directory described him in this way: "Ship Owner & General Merchant, 87 York Street".