I ran a fuzzy search for "Ester Plucennik" and found one result - Ester Rajza Plociennik. The birth date listed would make her the proper age to have attended School #9A.
The date of death is listed under "Ester Rajza Plociennik", which was the entry that I found when I ran a fuzzy search for "Ester Plucennik". The entry does not state the conditions of her death - whether she was taken to Chelmno, Auschwitz, or died within the Ghetto itself. She would have been about 11 years old when she died.
Under the assumption that Ester's last name was Plociennik, I ran an exact search for that name in the general names database. I found three results listed at the same address (HOHENS 28 66) as Ester. One, Rachel, was born in 1907. This birth date would have made her about 25 in 1932 when Ester was born, leading me to believe that Rachel was Ester's mother. There were also two other children listed at the same address. One, Hersz Moszek Plociennik, was born in 1936. The other, Dawid Majer Plociennik, was born in 1938. I believe these boys to have been Ester's brothers, as they were listed at the exact same address. Dawid died 21 November 1942, though like his sister's, his entry does not state the conditions of his death. Dawd would have been about 4 years old when he died.