A massive thank you to all who responded to my query - both here on the list and privately. You have all contributed your time and expertise so generously.
I have established to my satisfaction that this is one and the same family - YABLONSKY on arrival in the USA c1892; ZABLE from around 1904; and BEAR for my branch of the family who arrived in Australia in 1912.
Many happy hours ahead researching these new-found relatives!