I search many times over the years my relatives in USA and in Poland. My family root name is Frąszynski. We came from Uneyewo, Kalish, Poland. Franc Frąszynski from Ohio was my uncle and lived in Russian Far East, Oremif. He was a fisher.
No-one in Poland signs himself Frąszyński, but there are 3 Fraszyńskis, all living in the Katowice area of southern Poland. BTW, did you know that all words, personal names and place names starting with the letter "F" are of foreign origin?
My uncle Franc, my aunt Bronislawa, my father Boleslaw and other their 5 brothers and sisters were burn in Uneyewo on the river Warta now region Lodz from 1870 to 1885. I have got the document prove my suggestions. They, their farther Franc and their mother were transported from Poland to Sakhalin (Russian Far East in 1887) I found Franc Frąszynski in census and voter lists in Fresno County, California from 1926 to 1960. And I think surname Frąszynski could be transformed for Franszynskis during years too. I am sorry I do not know exactly may be my surname is Frączyński or Fraszyński.