95 Olds 88 Royale LS 4 Dr sedan won't start

So here's the back story. This car has been running
fine since purchased in February. She has less than
150,000 original miles on her. I have driven from
Missouri to Mississippi in her and she did just fine.
She doesn't smoke, there are no noises. About two
weeks ago I went out to take my kids to school and
she wouldn't start. I tried for about ten minutes
walked away to cool down and went back out
about twenty minutes later. At that time the car
started. Drove her for a week without any
problems. Two days before she broke down she
had a slight cutting out sound but then picked right
back up and ran. No other issues. I drove it
Saturday several different times without issue. I
sent my son to the grocery store. The car got the
one block on our road and cut out at the stop sign
like it was going to die. It didn't so he drove the 1/2
mile towards the store. He was two blocks away
and he was stopped at a stop sign. The car died
and would not start. She still won't start. We towed
her home. Pulled the starter off and had it tested.
They guy that did the test said that is a strong
starter. The fuel line was purged and she has
pressure. Any thoughts?