You wrote: "Looking for information regarding James Moore born circa 1833 in England, we think in Liverpool. He may have left England about 1847 when he was 14 years old. He went to Canada before travelling on to Australia. The only other information we have is James was a well educated man."
Have you found your answers? If not please add all the details you can. Consider carefully, and you'll find you know much more.
Somehow you've heard of this man - how so? Are his parents or siblings or children or wife on a family tree that you are researching? All genealogy hunts begin with more than one person. We can surmise you know of at least one person who is connected to James.
What are your sources? In other words, what makes you think he was born in Liverpool? That he left England in 1847? That he went to Canada? That he immigrated to Australia? Public records can be a source. Family stories/ oral tradition/ personal memory can be a source. Sources are always important but especially so in a search of this type.
What are the urban myths regarding James? Probably you are referring to stories circulating among descendants. Sometimes there is a kernel of truth in a family story and so can be a clue.
Here's what I surmise from your query. I will guess you are in Australia, that James married in Australia and became a father of someone who is on your family tree, and that your knowledge of him is a combination of records in Australia and family knowledge.
From this, I would guess you have researched James in Australia. This is the first thing anyone will do, including volunteer researchers who try to help. One must first firmly establish the identity of the person to whom you refer and work back from there. You have all this in hand - the forum does not.
Thus, in addition to sharing more facts and sharing sources, you could also consider sharing your process to date, so that others can see not only the facts available but also the facts that are NOT available. (For example, if you have ordered his marriage certificate, and it does not state his parents names, that's a relevant fact to this search.)
Do you know when James arrived in Australia? If not, what is your earliest "sighting" of James in Australia? From your query we could legitimately guess he lived in Canada in the early 1900s, and so we would look there for him. Would that be pointless because he's already in Australia? You can tell us!
Where in Australia did he live? Where did he die? What was his occupation?
James Moore is a common name, the birth date you give is approximate (even approximate as to year). You have no known birth place. You can see that it is impossible to leapfrog over all this and begin searching in England. If we did that, most likely more than one "candidate" for James would turn up. Thus scouring Australia for every possible clue about "your" James is the first step.
Posting a complete transcription of the records you have and a clear complete citation of the source is an excellent first step. Otherwise, as one can see by reading similar searches, volunteer researches end up trying to coax the poster to share these seemingly trivial yet oh-so-important details.
A quick search on Ancestry.com yields a plethora of James Moores to investigate. Sorry to be the bearer of this obnoxious news, but the truth is that your search is a difficult one, and the unwelcome result is that you will have to pour more effort into your query to orient the forum - or any research assistant - as clearly as possible.
Usually people won't tell you all this. They just don't reply to your query, just don't help with the research. Hope you can see my note is meant to support you in progressing in your worthwhile and meaningful search.