I can't find any plant called Shasta Thyme. Do you have a botanical name or photo?

You're right. It's called pink chintz thyme. My mistake. But I can't find out if it is strictly ornamental or edible too.

Botanical names are the ONLY ones to use when determining edibilty - and that is assuming the plant is what it is advertised to be. Mislabeling occurs frequently. Check it out here http://www.pfaf.org/user/plant.aspx?latinname=Thymus+serpyllum

Pink Chintz is a creeping thyme, normally used more as an ornamental groundcover. But ALL thymes are edible or can be used for culinary purposes - it's just hard to harvest anything from a creeping thyme and the flavor is not as distinct as Thymus vulgaris.

Yes, all Thymes are edible, providing they are members of the genus Thymus and not some other plant with Thyme in its common name.

GG is also right that harvesting T serpyllum is a faff. You end up with bits of dirt and debris because it grows so low to the ground. But if you are patient it is possible. Not much point though since you would lose some of your ground cover when you could just get a proper Thymus vulgaris and use it easily.

Thanks to all of you. When I bought it at a local nursery it was the only thyme they had left. When I got it home I had second thought about it. All my herbs are in containers on my porch because our house was built on land that was previously an orchard and I worry about the soil. So I guess this one will just go in the ground and look pretty. Thanks for all your help. Have a beautiful summer.