The name would have been spelled CINDRIÆ (sounds like tseendrich, with no mark over the first C the sound would be like the ts as in the word cats)is the 74th most common name in Croatia.Most CINDRIÆ who came to the US came from the Kordun region of Croatia, Slunj is a main town there.
Of course Thomas is a Christian name (after St. Thomas), the Croatian name would be Tomo or Tomislav. First let me say names were not changed on arrival in the US.Ship manifests were created at the port of departure with info taken from passports issued in the immigrant's homeland.Names changed after immigrants began life in America, in the case of your CINDRICK, someone looked at the C at the end and gave it the sound like the C as in the word car.
Marko is a common Croatian name, while Annie could be Anna, Ana or Anica or Anka.
FYI the Croatian Kingdom was united by King Tomislav c. 925 around 1100 the last ethnic king passed and nobility elected the King of Hungary as King of Croatia.1523 the Croatian-Hungarian Army was defeated at the Battle of Mohacs by the Ottoman Turks, most of Croatia (inc Slunj) would fall under the rule of the Turks. In 1527 nobility elected Ferdinand of Austria as the leader of the Kingdom of Croatia.Croatia would remain a Kingdom within the Austro-Hungarian Empire (aka Habsburg Empire) until after the end of WW I (1918). After WW I Croatia would be made part of the newly formed Kingdom of Serbs, Croats and Slovenes.You can read a brief history of Croatia at the link below.This the reference that Tomo was from Austria on one document and another Yugoslavia, suffice it to say he was from one of the oldest (yet newest) countries in Europe... Croatia.
No there are no genealogy web pages which list info about former residents.Any records would be found in church records.However Slunj is a Grad (which means town) and has jurisdiction over several surrounding places.So your Tomo may not have been from Slunj proper.
In addition to those examples given by Joseph re immigration records... 7 Tomo CINDRIC arrived via the Port of Baltimore...One census gives his arrival year as 1897 another as 1900.I notice on one census he is listed as a Stave Maker, while I have seen several Croatians settle there and become Stave Makers, most came from the Dalmatian part of Croatia.
Robert Jerin Croatian Heritage Museum Cleveland Ohio