Looks like this man with a will at PRONI:
The Will (with one Codicil) of James Harper late of Camberwell Belfast County Antrim Machine Maker deceased who died 1 August 1870 at same place was proved at Belfast by the oath of Henry Montgomery of Bangor County Down Merchant Tailor one of the Executors.
D/1870/48/1007/7/169 James Harper 1st August 1870 69 Male Belfast(pre-1973 Q4
14 pages of will, 12 June 1869. Premises in Unity St, Wilson St, Hollywood (Down),
- grandson William James Spotten
- son William John Harper
- granddaughter Mary Moore Ellis
- son James Harper
- daughter Mary Rodgers, wife of William Rodgers - must be Mary Harper who died 16 May 1879.
The 1859 marriage names her as Mary Spotten otherwise Moore otherwise Harper. There may be complications with an 1853 court case and a Robert Lockhart. (This is from years ago and I hope another thread has Lockhart details).
good luck