Your model number is equivalent in size to a Stanley No. 5 Jack plane, however they are proprietary so fit will be questionable as far as parts are concern- it is 14” long? Look at the date stamp or number stamp and that should tell you what wood species was used for the knob/tote and the handle.
1887 to 1909 = rosewood
1910-1924 = East India mahogany to the best of my knowledge it is Caribbean mahogany and Cuban mahogany; swietenia mahogani.
1925-1943 = mahogany (genuine mahogany).
1948-1950 = specified as hardwood.
It would help if you post some pics. and dimensions of the foot print. They do sell old stock Stanley wood tote and handle parts in rosewood or some type of hardwood- you can get originals and there are people who custom make them to fit per specs. Well, it is not inexpensive and you would have to weigh that with the existing value and condition of your plane.
If it is genuine rosewood you have to use acetone for adhesion due to the oil content. Can’t use water based glue like Titebond I- II & III are better. FYI- guitar industry uses polyurethane, epoxy system and cyano types for oily genuine rosewoods.
*Addendum: evilbay parts can be found if you have the patience to match your Sargent model- Stanley parts occurrence though is a lot more readily available. Lower version style of Sargent are O.V.M., Hercules and as well as Sears Craftsman that is Sargent made tools- not sure if the tote and the handle could be used as a substitute.