The lightsaber “calling to her” is a figure of speech much like how Kylo is “tempted by the light”.
A lightsaber is an inanimate object. The force was calling her to it. And (personal theory) it wasn’t calling to her because she’s a Skywalker, but because she’s the next “Space Jesus” like Anakin was (born w/o a father, inherently strong in the Force, etc.).