My research into the Shilman/Shulman Family began in 2000 when I hired Miriam Weiner to search known records in the Ukranian Archives under the four surnames I was following: Trugman, Baron, Perstzelai, and Shulman. I only knew my grandmother, Fradel Shulman's father's name, Eli Nachman. Miriam found many Shulman documents, and we were able to link to it via Eli Nachman. The most important thing we learned was that the family name was actually Shilman. We only know of two children of Eli (Elya) Nachman, the Pertzelai branch descended from Fradel and the Shulman branch descended from her brother Lepa.
There are a number of Shilman Census documents and birth records fromn Miriam's search and you can view them here.