This is a page from the book
A Picturesque Handbook to Carlingford Bay in Published 1846. Which discribes the neighborhood of James and Jane Marmion of Belhill at Ballyardel. It only mentions Arthur's mother Jane (Mrs Marmion) because James had just passed away.
When you read the names below it becomes apparent that they had been neighbors for some time, we see these names together on a few lists.
The entire book can be read:
Through the Neighborhood