You can check the points with a test light or volt meter.
- pop the right cover off the crank (right side as you sit on the bike)
- the 2.3 points on the right side (yellow wire)
- clip the light or meter across the point set (points spring and any good ground will do)
- key on, kill switch on, good battery installed
- plug wires disconnected from plugs (don't want her to accidentally start!)
- slowly rotate the crank by hand or by kick starter
- the light should turn on/off or meter jump from zero to around 12v
- if this doesn't happen, then you have a wiring problem, mis adjusted points or as Lloyd suggests, gummed up points faces that won't pass electrons.
While you are at it, look through the hole at the top of the points plate. The light/meter should transition when the F mark by 2.3 lines up with the casing mark