That's as I recalled it, RadioAstronomer, and the timing seems correct.
First-Generation stars would have no planetoids, but would be the furnaces for the formation of heavier elements.
Their destruction about 8 to 9 billion years ago would then lead to the formation of new Second-Generation stars with some solids-junk possible.
Subsequent aging and destuction-reformation leads to Third-Generation stars about 4.6 billion years ago with lotsa possibilities of planetoids, and lotsa heavier elements.
I've spent the last 45 years as a Plastics Engineer, so all I can do is wonder about the possibilities. Thanks for the interesting input ............... FRegards
:-)