Ask Mr. Smarty Plants

This is why Smarty Plants struggles with common names of plants. The same plant, sometimes in several different states or even countries, may have half a dozen different common names. For instance:

From Koala Native Plants on Brachyscome multifida (rock daisy). This is an Australian native and, we presume, not the one you have in your garden

Melampodium leucanthum (Blackfoot daisy) (also called rock daisy)

Perityle lindheimeri (Lindheimer's rockdaisy)

Here is a previous Smarty Plants answer on Pink skullcap from Central Texas Gardener.

After studying our webpages on the two that are native, and the Scutellaria suffretescens (Pink Skullcap) which may or may not be native, we are concluding that all are moderately low-growing perennials which will grow well in Austin.

Our advice on pruning perennials is pretty standard. Even if they are evergreen and certainly if they are not, they can take a good pruning in late winter. We like to leave about 6 inches of stems or branches standing on the ground. New green growth will quickly begin to show at the roots, but the standing branches will remind you that this is not a weed that needs yanking coming up. Because the plant needs leaves to provide food for the plant and blooms to produce seeds to propagate the plant, it will get busy putting on new, more vigorous growth. The plant doesn't care what its name is, it's just doing its thing.