Joseph & Harriet had at least 5 children (1st Joseph probably died young- I'm still searching and checking details).
Joseph Lilley (c1823/c1817 Co.Down-30 Jan.1907) m.(1862 Birmingham, England)
Harriet Frazer (c1832 England-21 May 1904)
Marriage:
https://familysearch.org/pal:/MM9.1.1/V5VK-7WHwww.census.nationalarchives.ie/pages/1901/Antrim/Dock_Ward/New_Lepper_Street/936873 "Probate of the Will of Harriett Lilley late of Victoria-terrace Albert-road Carrickfergus County Antrim Married Woman who died 21 May 1904 granted at Belfast to Joseph William Lilley Railway Official and Harriett Lilley Spinster." Will dated 1 May 1904 (shortly before her death) mentions property in England, children Joseph William, Harriett & Mary Elizabeth but not husband or son George.
"Probate of the Will of Joseph Lilley late of 23 Indiana-avenue Belfast Army Pensioner who died 30 January 1907 granted at Belfast to Harriett Lilley Spinster." Will dated 1895, codicil 1903.
www.census.nationalarchives.ie/pages/1911/Antrim/Clifton__Belfast_Urban_No__2/Indiana_Avenue/1344481.
Mary Elizabeth Lilley (c1865/prob.before 1864-24 July 1937) m.(c1894) ___ Doherty
"Doherty Mary Elizabeth of 23 Indiana Avenue Belfast widow died 24 July 1937 Probate Belfast 21 February to Fraser Doherty traveller and Miller Doherty gentleman. Effects £1825 14s."
1. Frazer Doherty (c1895 Belfast-aft.1959)
? "Doherty, Joseph William Fraser of 27 Gilnahirk Road Belfast retired commercial representative died 24 October 1968 at Belfast City Hospital Probate Belfast 18 November to Thomas Dick Tomlinson accountant. Effects £354."
2. John Miller Doherty (c1898 England-aft.1959)
2.
Joseph Henery Lilley (27 May 1865 Belfast)
Birth:
https://familysearch.org/pal:/MM9.1.1/F5X3-9NG3.
Joseph William Lilley (28 Feb.1867 Belfast-25 Sept.1905 Sierra Leone)
Birth:
https://familysearch.org/pal:/MM9.1.1/F55K-XZ2 "Administration of the estate of Joseph William Lilley late of 23 Indiana-avenue Belfast Assistant Manager who died 25 September 1905 at Sierra Leone West Africa granted at Belfast to Harriet Lilley Spinster. Effects £62 13s. 9d"
4.
George Wilmot Lilley (23 July 1869 Belfast). 1901- painter
Birth:
https://familysearch.org/pal:/MM9.1.1/F5MZ-T3D Marriage? (1908 U.S.)
https://familysearch.org/pal:/MM9.1.1/XJXT-D7P5.
Harriet Lilley (1 Mar.1872 Belfast-1959?) 1901- teacher
Birth:
https://familysearch.org/pal:/MM9.1.1/F5WN-MGC "Lilley Harriett of 23 Indiana Avenue Belfast spinster died 1 November 1959 at 118 Antrim Road Belfast Probate Belfast 4 December to Fraser Doherty oil representative and Miller Doherty clerk. Effects £9061 10s. 10d"