Is this Yakov Aryeh Shapiro ...

... son of R' Mordecai mi-Neskhiz b. Dov Ber?

R' Mordecai was first married to Reiza b. Joseph Katzenellenbogen, then to the daughter of Samuel Ginzberg. He had 5 children, of which Yacov Aryeh was the third. It is unclear which of the wives was Yacov Aryeh's mother.

This information is from Glenn Dynner, Men of Silk: The Hasidic Conquest of Polish Jewish Society (Oxford UP 2006).