07 PT Cruiser Start Issues

I'm stumped! My daughter has the above car. Been running great until today. She was heading to work and stopped at a gas station for coffee about 15 miles from home. Went back out to the car, tried to start it and it would turn over once (very slowly) and that was it. Tried again and same thing. She called me on the phone and had me listen, same thing. One very slow crank and that was it.

She was only a couple blocks from work so walked there and drove to the gas station. I get there put the key in and it started normally. No issues at all. I had her try it numerous times during her work shift and started great every time.

She drove home and parked the car, came in the house and we told her we wanted her to park it in the garage. She went to start it again and same thing as in the morning. She came in the house and got me right away, of course I go out and it started normal.

It seems to only be affecting the starting after extended drive time and the engine is to full operating temp. I've tried it numerous times in the past hour and normal starts each time.

I've checked the battery connections, they are all clean and tight, starter connections look good, although tough to see way down there and cant get to them easily. Battery is at 13V. No check engine light and no codes. Im kind of leaning towards the starter.

Any thoughts as to what is going on?