Hello Theresa Honeycutt,
There is an easily explainable configuration that would cause your dilemma on OLD FASHION
4 connection (two big posts & two small gauge wire posts) starter SOLENOIDS...
1997 Tercel is 3 wire (can't happen)
what you are describing is not possible as a USER MISTAKE because the TOYOTA solenoid only has THREE Battery TERMINALS showing.
It is a MANUFACTURING DEFECT.
YOU will need to return the starter as DEFECTIVE
and get another one..
The primary winding of the ("s" lead on classic drawings ... "st1" lead on the 1997 Tercel) has a DIRECT SHORT
to the output battery (starter motor side) of the main battery source (internal solenoid defect).
There should be ABSOLUTELY
no continuity between the large posts (battery & motor) and the ST1 terminal WITHOUT THE STARTER switch ("st1") momentary contact being energized.
Then inspect the Ring gear on the vehicle to assure no
GEAR TEETH have been broken off in the previous melee... (Serious job... hope not
Use the BBB Industries FREE
wiring diagrams to trace your "starter wire" (registration required: proprietary documents).
BBB drawings (my opinion: great company)
BBB Industries Premium Alternators Starters Power Steering Products
Amazon com BBB Industries 17681 Starter Automotive
Carnac the Magnificent