Przeczadski is a very similar last name to Przechadzki, the male form of the last name signed in the album, and I think Mira (b. 1932) is the most likely person to have signed the album with this name. Born in 1932, she would have been the right age to attend school #17a.
The first address at which she is listed, Szkolna 62, references a street that was not in the ghetto (http://www.shtetlinks.jewishgen.org/Lodz/streets-index2.htm). The fact that it is also listed with its Polish, rather than its German , name suggests to me that this address is where Mira lived before moving to the ghetto.
This appears to be the family structure: Wolf and Sura Przeczadski (both b. 1898) and their children, all born in the 1920s. All of them are listed at the same two addresses, and all are listed as deported on transport 13.