Samurai artifacts

I can't say I know much of anything about these relics. They were on display near where I live, but I couldn't read the sparse placards that were written in Japanese. I know one is a katana and the other a wakazashi, but beyond that I don't know. They were probably more ornamental than anything else. Perhaps a gift from one lord to another. I doubt they've seen any combat since the blades don't show the "wear" others which I know were use in medieval conflicts. I say "wear" since even those claimed from battlefields are able to present a mirror-like finish once they've been restored.