I was trying to piece together how Sarah ended up in Tarrant County, TX when she was living with her mother in NJ in 1920.
I fould a death certificate in Tarrant County as follows:
Name: Annie Agnes Applegate Death Date: 09 Jun 1946 Death Place: Tarrant, Texas Gender: Female Race: White Death Age: 79 years 5 months 23 days Estimated Birth Date: Birth Date: 17 Dec 1866 Birthplace: Pennsylvania Marital Status: Widowed Spouse's Name: Father's Name: Frank Palsgrove Father's Birthplace: Pennsylvania Mother's Name: Julia Reppert Mother's Birthplace: Pennsylvania Occupation: Housewife Place of Residence: Handley, Tarrant, Texas Cemetery: Rose Hill Burial Park Burial Place: Fort Worth, Texas Burial Date: 12 Jun 1946 Additional Relatives: Film Number: 2218377 Digital Film Number: 4031958 Image Number: 2530 Reference Number: 28894
This is probably her sister Annie, age 13, in the 1880 census.The death certificate indicated Annie had been living in Tarrant County for 26 years.
Perhaps Sarah lived with her sister after her mother's death.