YOU SAID:

I have a sleepy cat called Alice on my lap.

INTO JAPANESE

私の膝の上には、アリスという眠そうな猫がいます。

BACK INTO ENGLISH

On my lap is a sleepy cat named Alice.

INTO JAPANESE

私の膝の上には、アリスという名前の眠そうな猫がいます。

BACK INTO ENGLISH

On my lap is a sleepy cat named Alice.