Lizzie was born in 1905.
Birth registration: Here
1911 census: Here
"Connecticut Death Index, 1949-2001," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:VZGL-Q4C : 9 December 2014), Elizabeth B Halloran, 23 Aug 1992; from "Connecticut Death Index, 1949-2001," database, Ancestry (http://www.ancestry.com : 2003); citing Hamden, New Haven, Connecticut, Connecticut Department of Health, Hartfort.
"United States Social Security Death Index," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:JKF1-XZQ : 19 May 2014), Elizabeth Halloran, Aug 1992; citing U.S. Social Security Administration, Death Master File, database (Alexandria, Virginia: National Technical Information Service, ongoing).
"United States Census, 1940," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:KWM1-TT2 : 1 December 2019), Lillian Halloran in household of Thomas Halloran, Ward 16, New Haven, New Haven Town, New Haven, Connecticut, United States; citing enumeration district (ED) 11-98, sheet 13B, line 56, family 217, Sixteenth Census of the United States, 1940, NARA digital publication T627. Records of the Bureau of the Census, 1790 - 2007, RG 29. Washington, D.C.: National Archives and Records Administration, 2012, roll 541.