Gender: girl
In an exact search for M* Berkan, 9 results came up. Malka was the only female, and her birthdate put her in the right age range to attend the Gymnasium and high school for girls.
Malka lived at two different addresses, and I found family members who lived at at least one of the exact same addresses, including her father (Szymon, b. 1987), her mother (Chana, b. 1902), and siblings Estera (b. 1924) and Mojsze (b. 1933).
No information is given regarding the fate of Szymon, Estera, or Mojsze. According to Lodz death records, Chana died on July 12, 1942 of pulmonary tuberculosis. Malka died of unknown causes on August 1, 1944.