Austria
wiktionary
From Latin Austria, a Latinization of Old High German Ostarrîchi (the first element of which means "east" and stems from Proto-Germanic *austraz(“eastern”), and the second element of which is rīhhi(“realm”); it, in turn, is a calque of Latin Marchia austriaca(“eastern borderland”). (See east, eastern for more.)
Distantly cognate to Australia: it derives from the same Proto-Indo-European root, but via Latin, where it came to mean “south” rather than “east”. Compare also Austrasia.
etymonline
Austria
central European nation, from Medieval Latin Marchia austriaca "eastern borderland." German Österreich is "eastern kingdom," from Old High German ostar "eastern" (from Proto-Germanic *aust- "east," literally "toward the sunrise," from PIE root *aus- (1) "to shine," especially of the dawn) + reich "kingdom, realm, state" (from Proto-Germanic *rikja "rule," from PIE root *reg- "move in a straight line," with derivatives meaning "to direct in a straight line," thus "to lead, rule"). So called for being on the eastern edge of Charlemagne's empire. Related: Austrian.