Hi John,
I know personaly some Babiar people still living in Myjava region, exactly at Brezova pod Bradlom. Since I moved from the area, I am not in contact, but here are Babiar list:

Name, Surname, Street, town
Alžbeta Babiarová Dolná štvr , Myjava
Anna Babiarová Bradáèova , Myjava
Branislav Babiar Nám.M.R.Štefánika , Myjava
Dušan Babiar Myjavská , Brezová pod Bradlom
Eduard Babiar sídl.D.Jurkovièa , Brezová pod Bradlom
Igor Babiar Dolná štvr , Myjava
Jarmila Babiarová Hodžova , Myjava
Jaroslav Babiar Žabokreky , Myjava
Ján Babiar 7.apríla , Brezová pod Bradlom
Ján Babiar Turá Lúka
Ján Babiar Jablonská , Myjava
Michal Babiar SNP , Myjava
Michal Babiar Tehelná , Myjava
Miroslav Babiar sídl.D.Jurkovièa , Brezová pod Bradlom
Pavel Babiar Kpt.M.Uhra , Myjava
Pavol Babiar Brezová pod Bradlom
Vladimír Babiar Košariská
Štefan Babiar Z.Lackovej , Myjava

For full address, visit www.zoznamst.sk
,,smerovacie cislo,, use 0802
To learn about Myjava visit www.myjava.sk

Good Luck
Stan