Elizabeth was born about 1817 in Ayrshire, Scotland
Edward Buchanan, his wife Elizabeth and children; Elizabeth, Ann, James, Edward and John Buchanan emigrated via London, to New Zealand in the ship Gananoque, arriving in Auckland 18th October 1861 with John Buchanan, his wife Margaret (Smellie) Buchanan and their children Jane and Andrew Buchanan . Also travelling with them was Agnes Rankin Smellie who later married their brother George Buchanan. [1][2]
"Scotland Marriages, 1561-1910," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:XTBZ-9X7 : 10 February 2018), Edward Buchanan and Elizabeth Hogg, 05 Nov 1837; citing Glasgow,Lanark,Scotland, index based upon data collected by the Genealogical Society of Utah, Salt Lake City; FHL microfilm 102,928, 1,042,987, 1,042,942, 102,927, 1,042,988, 1,042,989.
"Scotland Census, 1851," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:VYYS-18B : 4 November 2019), Elisabath Buchanan in household of Edward Buchanan, Upper Ward, Renfrewshire, Scotland; from "1851 England, Scotland & Wales census," database and images, findmypast (http://www.findmypast.com : 2012); citing p. 1, PRO HO 107, The National Archives UK, Kew, Surrey; FHL microfilm 1,042,363.