YOU SAID:

There was a cat who had a hat and sat on a bat

INTO JAPANESE

帽子をかぶってコウモリに座った猫がいました

BACK INTO ENGLISH

There was a cat sitting on a bat with a hat on.

INTO JAPANESE

帽子をかぶったりして、コウモリの上に猫が座っていた。

BACK INTO ENGLISH

A cat was sitting on a bat, wearing a hat.

INTO JAPANESE

猫が帽子をかぶって、バットの上に座っていた。

BACK INTO ENGLISH

A cat was sitting on a bat with a hat on.

INTO JAPANESE

猫が帽子をかぶったバットの上に座っていた。

BACK INTO ENGLISH

A cat was sitting on a bat with a hat on.