I lost my grandma about 30 years ago when I was just a little thing, but I make these cookies from her recipe every year. These make very soft, thick, cakey cookies. (It took me a long time to realize that this recipe was not the norm, and that many other people make flatter, crisper sugar cookies!) You can frost them as you wish. I make a buttercream icing for mine. If there is any drawback to these at all, it's that the dough gets a little sticky so it really must be chilled well to be rollable. Both the dough and finished (unfrosted) cookies freeze well. Sometimes I use almond extract instead of vanilla. Bear in mind that these puff up quite a bit so simple cookie cutter shapes work best. Prep time includes chill time.