Just a small point, there is no your tree, my tree or their tree, wikitree is ome tree our tree.
It is difficult to search with limited information, like which counrty are we talking about. Using People: Search from the Find Menu gives about 150 possible results. even guessing a birthdate of about 1890 plus or minus 12 years. None are William Francis or even William F. but there are plenty of William's.
Assuming you got Samuels birth year from the marriage certificate then you know his father was alive a year before so you know the time period to search for his death, you know he married Elizabeth at least a year before the birth of Samuel, he was probably 20 to 25 when he married so you have a date to look for his birth and of course you can fill some gaps or get better dates from census returns.