It is also said that, in addition to the descendents of the families whose honsei (original name) was Hozumi, there were many samurai families which were given the family name 'Suzuki' for their devoted religious practices among those families who were allowed to have myoji (family name) at that time such as the Minamoto clan and the Taira clan, and in this way, the myoji (family name) of Suzuki quickly extended in the eastern Japan and other regions of Japan.
また穂積姓の子孫ではなくても当時苗字を持つことを許されていた武家、源氏や平氏などの中で、信仰心の深い武家には神姓である鈴木姓を与えてきた故、鈴木の名字は瞬く間に東日本を中心に全国に広まったとされる。