Are there home cures to take shallow scratches from a windshield?

During the winter in Houston, the roads were sanded.There are a few shallow scratches on the driver's side of the windshield. I can not see the scratches directly. I have to look from the side to see the scratches.I can only see the scratches if the sun or if light shine on that area. I have used 0000 steel wool with soap and it just left the windshield clean.I have also tried a commercial shinning compound. Again, it just cleaned the glass. I flirted with the idea of using super fine wet sandpaper.Since the scratches are not deep, I was told to try toothpaste, it did not work. I have also heard of jeweler's rouge with a soft cloth. I tried to have it done commercially.I can not seem to locate anyone in the Houston, Texas area that can take care of this issue.I would appreciate thoughts from you professionals or weekend tinkers. For what it is worth, my father went to sleep last may at the age of 91. He purchased a MB in 1986. It had 92,000 original miles. No dents etc until I drove the car from Maryland to Houston. The windshield had few dings from the trip from Md to Houston. Ever thing is original.I could change the windshield.It does not have the old style white back ground logo on the right side of the windshield. Please share. I don't mind going through the hard work of ridding the windshield of scratches.