Correct,
You need to have a switched power in & power out plus a magneto & ground which are connected when the engine is off to kill the spark.
You can just pop a std toggle on - off switch and connect the fuel solenoid to it, however she will have to remember to turn it off or she will be spending a fortune on new batteries.
We do not get snappers down here or if we do they were rebadged with a local brand name so I have no idea how Snappers are wired .
However all mowers have the same basic wiring some with slight variations like slipping in a relay.
When you said your small engine repair teacher OKed your wiring we naturally assumed that you knew how the wiring works .
If you had just said what engine you were putting into which model Snapper then the techs with access to Snapper wiring diagrams would have posted one or a link to where you can get one for yourself .
Briggs & Stratton put out a nice book called "The Alternator Repower Guide " , it is a bit dated now days but as previously mentioned mower wiring is simple and does not change that much .
Download a copy and in the mean time find out what model Snapper she has so those with more knowledge that me can jump in .