It appears this may be Pet Grant, probably short for Patricia. This may be her:
"Illinois, Cook County Deaths, 1878-1994," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:QGNF-CTJ9 : 18 March 2018), Ada Greathouse in entry for Patricia Lavinna Frederick, 28 Jan 1987; citing Cook, Illinois, United States, source reference , record number , Cook County Courthouse, Chicago; FHL microfilm .
Sources
"United States Census, 1920," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MJZQ-ZV3 : accessed 9 December 2017), Ada Greathouse in household of Edmond R Greathouse, Norris, White, Illinois, United States; citing ED 183, sheet 1B, line 70, family 21, NARA microfilm publication T625 (Washington D.C.: National Archives and Records Administration, 1992), roll 413; FHL microfilm 1,820,413.
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DNA Connections
It may be possible to confirm family relationships with Bert by comparing test results with other carriers of her ancestors' mitochondrial DNA.
Mitochondrial DNA test-takers in the direct maternal line: