I don't know if this fits your family member or not, but there is/was also a Borki in the Kovel area of Volhynia. My half-uncle was born there. It shows up in his confirmation record in the U.S. and in his birth/baptismal record on LDS film 2380021. This was a film of records of Evangelisch-Reformierte Kirche Rosyszcze (Luck).