Whether limewash suits a stone comes down to absorption. Drip water on several stones: if it darkens the stone and soaks in within a minute or two, lime can go on; if it beads, the stone is sealed or too dense and needs more preparation or a different finish.
Outdoors, sun-heated stone dries lime too fast. Coats go on in the cooler months, early in the day and on shaded walls, with the stone dampened first. Before limewashing outside stone, ask Cedar Park Planning how its exterior material rules apply to your house, and check with your HOA if you have one.