Complex sentence: She spent some time in the Mediterranean under Hinton in 1801, but was back in Britain soon afterwards, being fitted out at Woolwich between September and October 1803 for service with Trinity House.
Split into simpler sentences: She spent some time in the Mediterranean under Hinton in 1801. Soon she was back in Britain, being fitted out at Woolwich between September and October 1803 for service with Trinity House.