Spain recognized Irish nobles as Spaniards on an equal footing , and Irish may claim Spanish citizenship .
Spain recognized Spanish nobles on equal footing as Spaniards , and Irish could claim Irish citizenship .

Are these two sentences paraphrases of each other?
no

During the American Civil War , Indiana was the site of the Battle of Corydon , the only official pitched battle waged in Corydon .
Indiana was the site of the Battle of Corydon during the American Civil War , the only official battle in Corydon .

Are these two sentences paraphrases of each other?
yes

The path was opened in stages , with the most recent section ( from Wellsboro to north of Ansonia ) being completed in 2007 .
The trail opened in stages with the most recent section ( from Ansonia to just north of Wellsboro ) being completed in 2007 .

Are these two sentences paraphrases of each other?
no

The Tick - Canyon - Formation is a geological epoch of the Miocene - formation in the Sierra Pelona Mountains in Los Angeles County , California .
The Tick Canyon Formation is a geologic epoch Miocene formation in the Sierra Pelona Mountains of Los Angeles County , California .

Are these two sentences paraphrases of each other?
yes