Hi Daphne! I'm a great fan of yours from "Central Texas Gardener". Would you know what kind of tree this is? We are clearing Ashe juniper out of my pastures and this jewel appeared! I have no idea what it is. The torn out area in front of the tree was a juniper. The tree has white bark. I took this photo today (10/28/2016). There appear to be some whitish berries on the ends of the branches.
Hays County Texas ligustrum
This appears to be a Ligustrum which has been long used as a screening hedge however if it becomes an invasive when it escapes into native forest by birds feeding on the fruit. For more information and to compare description to your plant see: