I found Gertrude in the 1930 census at the Northern Colony and Training School. She was listed on Sheet 9B. Dorothy was listed on Sheet 8B

1930 United States Federal Census (Sheet 9 B)
Name: Gertrude Crabar
Home in 1930: Northern Colony and Training School, Chippewa, Wisconsin
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Age: 22
Estimated Birth Year: abt 1908
Birthplace: Wisconsin
Relation to Head of House: Inmate