Hi Wendy,
Blaris graveyards but which one eg from
http://freepages.genealogy.rootsweb.ancestry.com/~rosdavies/PHOTOSwords/BlarisAll.htm1. Church of Ireland- Christ Church Cathedral
Castle Street and Bridge Street, Lisburn
Records available UHF has baptisms 1661-1720; Blaris parish graveyard, gravestone inscriptions UHF Vol 5; oldest stone 1626; email me Ros Davies for a gravestone look-up.
2. Maze Presbyterian Church
in Maze townland
Records available baptisms & marriages from 1856; no burial register ; gravestone inscriptions UHF Vol 18; email me Ros davies for a gravestone look-up; Try
http://www.lisburn.com/books/mazechurch/maze1.html3. Eglantine All Saints Church of Ireland
in Carnbane townland
Records available ; births from 1875 & marriages from 1811 & burials from 1920; vestry minutes from 1876; gravestone UHF Vol 18; email me for a gravestone look-up; Try
http://www.eglantine.org/history.htm4. St. Patrick's Catholic Church on Chapel Hill, Lisburn
Presbytery- 29 Chapel Hill, Lisburn BT 28 1EP Tel: 9266 2341
records from 1840 details not known
The Vols mentioned are published by the Ulster Historical Foundation UHF, now at 49 Malone Road, Belfast
PRONI
http://www.proni.gov.uk , has a will for a Leathem
The Will of John Leathem late of Maize County Down Farmer deceased who died 4 February 1875 at same place was proved at Belfast by the oath of Edward Leathem of Knockmore (Lisburn) County Antrim Farmer one of the Executors.
Perhaps I shouldn’t presume you know about the Leathem entries on the Ros Davies website mentioned at the start, which shows a
Noel Lavery has supplied information eg Silas LEATHEM Blaris regd. Lisburn; married Mary Flemming 26 Apr 1844 in Lisburn Cathedral; father of Dorothea chr. 26 Sep 1847 & & Ann chr. 15 Dec 1850 & William chr. 26 Dec 1852 & Silas b. Apr 1859 & Dorothea chr. 12 Aug 1862 & Thomas Edward b. 17 May 1865 & Dorothea b. 21 Jan 1870 (sic) PR;CR; Noel Lavery
Contact Noel through Ros Davies interest lists
Good luck onwards JimG