You sound a bit new at this, so allow me to ask for this clarification. When you say your grandmother matches up on AncestryDNA "as expected", what exactly does that mean? There's no "Grandmother" category. What category did she show up in? How many cM?
I believe she should show in the "Close Family" category, with 1200cM to 2100cM, although I think I've heard of a case of a grandmother showing up in the "1st Cousin" category. Anything over 1200cM should rule out any remote possibility that she's really a biological great-aunt. I assume not that not you're worried about that, but sometimes people get surprises, and so this can show you that you do NOT have such a surprise.