How about this: The word 'Claude Cat', I read it 'Clawed cat'. Sometimes, I want to be just like a cat, but Cat's life also looks so hard. It's so hard to translate. I think It's better to keep a pun using homonyms, and I gave up using 'a sleeping cat( neko )', so I used another pun. However, It's still not yet good enough. Because the cartoon is a very old.story. * Claude Cat is an animated cartoon character.

I think both of your translations are almost right. But it is difficlt to express first line without Japanese word, you know. So, I translated below with using Japanese words. "寝子(small sleeper or sleeping child)" is able to be pronounced as "neko(猫(cat))". "寝子" is not a general word, so we confuse that pronaunciation, though Japanese people can understand the meaning because of kanji. On the other hand, "猫(neko)" is a very common word.