Blushware is a type of Carlton Ware which was produced from 1890 to 1997. However, since your grandmothers china set doesn’t have distinct makers mark on the bottom, I’m not convinced it’s blushware. It’s certainly beautiful china and looks like blushware but there’s no smoking gun. Here’s page that list most of the blushware patterns:
http://www.carltonwareworld.com/blush-1.html
Since the page only list most of the blushware patterns, it possible you have one of the patterns not shown, so that’s not definitive either.
I can’t identify your pattern or manufacturer, but I estimate your grandmothers china set to be worth between $300-400 based on the following:
https://www.antiquesnavigator.com/d-715706/61pcantique-rose-pattern-occupied-japan-china-set.html
https://www.antiquesnavigator.com/d-1287656/vintage-royal-bayreuth-bavaria-china-70-pieces–floral-set-gorgeous.html
https://www.antiquesnavigator.com/d-1552522/44-piece-partial-service-8-rosenthal-heirloom-pattern-china-set-superb-servers.html
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