YOU SAID:

My second cousins mum went out to the market to get cabbages and arrived with milk instead

INTO JAPANESE

私のいとこのお母さんはキャベツを買うために市場に出て、代わりにミルクを持って到着しました

BACK INTO ENGLISH

My cousin's mom went to the market to buy cabbage and arrived with milk instead

INTO JAPANESE

私のいとこのお母さんはキャベツを買うために市場に行き、代わりにミルクを持って到着しました

BACK INTO ENGLISH

My cousin's mom went to the market to buy cabbage and arrived with milk instead