I'm kind of a "Basics" guy, by covering the simple first
it can save you time and money. First, the "Battery Light"
on the dash must be working when the key is in the "On"
position. If not check/repalce bulb. Secondly, check all
ground connections for loose fit or corrosion. at the same time,
check the positive cable[s] for the same problems.
While you are at it, check the wires going into the alternator
for corrosion or breakage or improper fit.
In your post you mentioned the light on the dash didn't
appear, that's why I suspect a failed bulb in the dash.
Bosch alternators/starters hold up pretty well, of course with
high mileage anything is able to fail.
Good luck!