Quoting James Rupolo
This is accutally anakins 4th lightsaber because he had a green one on genosis and your other one is his second because he had a different one between episode I and II and also he said "not again" so that indicates that he had one before that one. By the way this is really good!
Well I got my information from Wookieepedia, and I do know that he wielded about 4 different light sabers, but this is the second one that he built. Also his first lightsaber was damaged, rebuilt, and then destroyed on Geonosis.