Yeah, thanks for the correction. Modern Republicanism has a nice Wikipedia page that was worth a perusal.

The former British Colonies tend to use the word "Republican" in a specifically Anti-British-Monarchy way as that Nation sought independence. This does not apply to the US party.

Beginning as Socialist Parties is also a notable trend, though not entirely universal among this category. In this, the US party fits the trend well - but has abandoned that principle. Now they want a damn king too. Its disgusting.