She is simply referred to as Belle.
Scrooge's first name is Ebenezer.
Ebenezer
Mr Fezziwig
Bob Cratchit
Jacob Marley
It was an engagement to marry
Ebenezer Scrooges
As the story unfolds we see Ebenezer's softer side break through
In the book her last name was originally Scrooge, but her married name and the last name of her son is not given. In one movie adaptation, Fred Holywell is the nephew to Ebenezer Scrooge, and son to Ebenezer's sister, Fan. So Fan's married name was Holywell.
Ebenezer Scrooges house keeper on 2 shillings a week
Robert (Bob) Cratchit is Ebenezer Scrooges clerk in the novello A Christmas Carol published in 1843
Scrooge's full name is Ebenezer Scrooge.