It's not a version of the Twa Brothers, but here's a an Irish version of "Edward" (Child 13) which has the opening verse from the Twa Brothers:
Patrick 'Jaws' Ward - Two Brothers (son come tell it unto me)

The line about two boys coming home from school is not part of any other Irish version of Edward I've heard. The two songs are closely related, so I guess it's not unusual to find mixed versions like this one.