Agree with a vest! I got one at Dick’s two years ago that is Second Skin brand. Layers are the way to go, as she may warm up faster than you think. (I’m also a runner and my wardrobe is down to a science when it comes to temperature. I prefer a fleece headband type warmer to a full hat. I actually have a Buff brand wrap thing that can be used as a headband, neck warmer, hat, it has like 20+ ways to finagle it (there’s a video on how to do it). That’s a key item for me too.