Ask Mr. Smarty Plants

"Red Sister" is no doubt a trade name for Cordyline fruticosa (tiplant), native only to Hawaii and certainly not to Brownsville.  This Floridata article on Cordyline fruticosa will give you some general information; apparently it is usually a house plant. 

From the UBC Botanical Garden and Centre for Plant Research, some suggestions from a contributor:

"There are a couple of things you could do to help your plant, and the first one is to reduce the fertilizer. You probably won’t need to fertilize it again until next year. If you notice white stuff on the soil surface, then water is not flushing through properly and minerals are building up. Put the plant in the bathtub, or outside somewhere in the shade (direct sun will burn the leaves), and water it well until the water comes pouring out the bottom drainage holes. This will help get rid of some of the extra fertilizer and keep it from burning the roots. Do this once or twice in the next couple of weeks, and your plant should be fine. You may also want to mist the leaves on a regular basis to help keep humidity up, as this can help prevent browning on the leaf tips and edges." 

From our Native Plant Image Gallery:

Cordyline fruticosa

Cordyline fruticosa