Hi Tim, thanks for your post. Brick walls don’t exist if you ask for my help in genealogical researches. I definitely can help you to find all available information about your uncestors.
Online resources available for Transcarpathia are LDS films which cover a part of GC records of former Bereg county. They do not cover other counties or civil records.
And my genealogical service allows you reaching those records which are not online.
Tiszabökény is modern village Bobove in Tyachiv region, and Tiszapéterfalva is Pijterfolvo in Beregovo region. I can help you to research both locations.
However, I would like to have more details in order to state something more definite. Please check your mail for my specifying questions.