I found information according to which she belonged to the Halevi Horowitz family through her mother, but the information is conditional on the fact that Rabbi Yishchar Ber Segal through whom I found the information is indeed Rabbi Yishchar Ber Segal who was Kozker's grandfather.
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According to the information (assuming the information is correct), I found out who The Kozker is named after, who his daughter is named after (Sarah ) and more.
If indeed she is a descendant of the Halevi family, I found a lot of information about her family, but before I connect her, I want to be sure of the information
Does anyone know if the information I found is correct?