Birth record does not give parents names further research required - original data from William Newman's tree on Genes reunited
GRO birth index gives her mother's maiden name as Wilbar. QED!
↑ YATES, LILY VICTORIA LOUISA mmn WILBAR
GRO Reference: 1907 M Quarter in FULHAM Volume 01A Page 240
* Source <"England and Wales Birth Registration Index, 1837-2008," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:2FJ5-1KZ : 1 October 2014), Lily Victoria L Yates, 1907; from "England & Wales Births, 1837-2006," database, findmypast (http://www.findmypast.com : 2012); citing Birth Registration, Fulham, London, England, citing General Register Office, Southport, England.>
<"England and Wales Marriage Registration Index, 1837-2005," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:QVD7-WWCS : 8 October 2014), George A Newman and null, 1948; from “England & Wales Marriages, 1837-2005,” database, findmypast (http://www.findmypast.com : 2012); citing 1948, quarter 1, vol. 5C, p. 1342, Fulham, London, England, General Register Office, Southport, England.> 
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It may be possible to confirm family relationships with Lily 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 DNA with Lily: