"Thallene" Natural Recordings by Native Speakers
Thallene was one of the first English surnames recorded in North America. There are various people with the surname Thallene.
I couldn't find any definition for the word "thalline". It's possible that it's a rare or obsolete word, or it may be a misspelling or a non-existent word. Could you please provide more context or information about where you encountered this word?