Paternal ancestors appeared in Jaszarokszallas, Central Hungary after the Ottoman Turks driven out in early 18th century. Family in Jasz county from 1720s till 1930s. Feher surname appears in the 1550 Ottoman Turkic census in Jaszarokszallas and thus they might have lived there continously. 

Closest paternal SNP-match is an ethnic Slovak from Szarvas, common ancestor in 1300 CE.

Next paternal relatives are from Northeast Italy, Padova and Vicenza, TMRCA between 400-800 CE. 

Italy to Hungary migration route is more likely than vice versa.