https://www.geni.com/people/Alain-Benoit-Lévy/6000000026079967209 - I don't know how I did not see this.
This Frankel family was in the area of Trakai, Lithuania and Lida (now Belarus). Lodz is pretty distant and Frankel is a very common name.
Have you done Y-DNA testing? Two Frankel descendants have tested. They are haplogroup G. You can find them under Frankel or Franklin in the FTDNA haplogroup project(s).