In 1901 the Census records her at 10 years old in the household of her mother Alice with other siblings. 
↑ "England and Wales Census, 1901," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:X9BC-Z8Y : 21 May 2019), Eliza Williams in household of Alice Williams, Llanfairfechan, Caernarfonshire, Wales, United Kingdom; from "1901 England, Scotland and Wales census," database and images, findmypast (http://www.findmypast.com : n.d.); citing Llanfair-Fechan subdistrict, PRO RG 13, The National Archives, Kew, Surrey.
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It may be possible to confirm family relationships with Eliza by comparing test results with other carriers of her ancestors' mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share some percentage (beta) of DNA with Eliza: