continued
1796 Flaxgrowersofireland Neither are located
1823-1837 Tithes Applotment Booksbased upon the work of the Irish Genealogy Hub’slisting for each parish in Northern Ireland,The relevant original books are in the
Public Record Office of Northern Ireland (PRONI) Belfast
Hamilton, Andrew-Townland: Ballywalter Year: 1834-Ballywalter-Down-
Hamilton, Widow Townland: Dunover Year: 1834-Ballywalter-Down-
1863 Griffiths Valuation has 38 entries leaving out subleases, this reduces to the following, some may be 2nd properties extra bits of land or a same named father and son etc
I used quick index
https://www.failteromhat.com/griffiths.phpand the detailed version with map
http://www.askaboutireland.ie/griffith-valuation/index.xml?action=doNameSearch&familyname=hamilton&firstname=&offset=20&countyname=DOWN&parishname=BALLYWALTER&unionname=&baronyname=&totalrows=24&PlaceID=0&wildcard=Hamilton William J. Ballyferis map ref 1 Ballywalter Down
Hamilton Andrew Ballywalter mapref 25;26;27;28 Ballywalter Down
Hamilton Andrew Ballywalter Ballywalter mapref 29 Down
Hamilton Andrew Ballywalter map ref 50;51;52;53;54 Ballywalter Down
Hamilton John Ballywalter map ref 86;87 Ballywalter Down
Hamilton John Ballywalter map ref 101 24Ballywalter Down
Hamilton Andrew Village of Ballywalter map ref 101 24 Ballywalter Down
Hamilton Andw. Village of Ballywalter map ref 101 134 Ballywalter Down
Hamilton Anne Village of Ballywalter map ref 101 175 Ballywalter Down
Hamilton John Village of Ballywalter map ref 101 10 Ballywalter Down
Hamilton John Village of Ballywalter map ref 101 133 Ballywalter Down
Hamilton Anne Dunover House map ref 4A,B; 5 Ballywalter Down
Hamilton James Dunover House map ref 4A,B; 5 Ballywalter Down
then I looked up Rod Davies maps Ballywalter village/ sits inside Ballywalter Townland ontop of it sits whitechurch townland on top of that sits Dunover to the west and Ballyferis to the east. so it’s a focal point for hamiltions. Ros davies Co Down website has 3 sub data bases to contain all the Hamiltons in Co Down which I presume you have seen
note there are no McMurray/McMurry in the parish
moving to McMurray HillHall is officially in Drumbeg townland in Drumbeg parish which adjoins Lambeg parish in ros Davies there are 3 entries which you know
Robert MacMURRAY .Lambeg/Drumbeg died 10 Oct 1874 aged 60; husband of Elizabeth who d. 16 Mar 1902 aged 89; father of Agnes, Elizabth, Sarah, Robert John & Maria (Hull); buried Hillhall Presbyterian graveyard MIs
William McMURRAY .Lambeg/Drumbeg of Hillhall; died 25 Dec 1890 aged 70; husband of Jane who d. 12 Nov 1887 aged 40; buried Hillhall Presbyterian graveyard MIs
Robert McMURRAY Esq. Lambeg of Lisnatruck; a gentleman; husband of Eliza Boyd; mentioned in Deeds dated 1857 Registry of Deeds, Dublin Vol 185811 p144
Griffiths has
Mc Murray Margaret Ballyaghlis Drumbeg Down
Mc Murray William Lisnatrunk Lambeg Down
Good luck onwards