The Question and Answer section for Bleak House is a great resource to ask questions, find answers, and discuss the novel.
George Rouncewell (Mr. George)
A former soldier, he runs a shooting gallery in London. He is the son of Mrs. Rouncewell. A principled military man, with more personal honor than business acumen. George is arrested later in the book.
He was appointed her guardian after her Aunt's death. I don't know that we're made aware of the exact stipulations.
I think the simple answer is that many publishing houses, in those days, simply didn't include the publishing date. Reprints would include the reprint date though. We know around when it was written but an exact publishing date was not always...