As Caroline's father was suppose to be Hugh Compton and yet none exist on the Isle of Wight from where she was born, it only left any Hugh who came from the Isle Of Wight and three only appear who could have been her actually parent.
I think this may be rather too simple.
If I remember rightly, Caroline's mother was not born on the island. Do you know how her family came to be there? Caroline said her father was a captain? Perhaps he was a soldier? There was a garrison at Carisbrooke Castle, so perhaps the father of her child was another soldier, who may have left the island when his regiment did and never returned. He may also have died. There is rather a lot of time between 1816 and 1841 when trying to pick up the trail of Hugh in the census.
Nice theory though it is, the idea that Hugh, Caroline's father, was possibly Hugh Murray a coastguard, from Ireland who made his way to the Isle of Wight when he was still a teenager, fathered a child, returned to Antrim before he was appointed as a boatman aged 23 there and perchance managed to end up back on the Isle of Wight after several postings over 20 years in Scotland and the south coast of England is a wee bit of a stretch.
This may still be a brick wall.
Nell