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I was wondering if they children went to the school nearest them, because if they did identifying which child signed which book would become much easier.
That's a really interesting question. Anyone who reads this... Maybe whenever you confirm a student's home address, you should also look to see if there is an address for their school, too. It would be an interesting project to look back through all of the students for whom there are known home addresses and school addresses and plot them on a Google map.
I should add, that although I think this is an interesting question, there are also reasons it may be a non-starter. The ghetto imprisoned a lot of people (about 200,000) in a small geographic area (around 15 x 20 city blocks, or about 4 miles across). In this context, the farthest school could never really be too far away, and was generally at most no more than 2 miles away. I believe, for instance, that there was a single gymnasium in the ghetto. According to the diary of Dawid Sierakowiak, it was at 6 Smugowa St. on the southern edge of the middle of the ghetto.