Your plant is a euonymus (ewe-WAN-a-muss); I've also seen it spelled euonymous. A more common name is wintercreeper. Some varieties are evergreen; others are not. Some are groundcovers (yours); others are shrubs. There are solid green varieties and others that are variegated with either green and white or yellow and white leaves. Some varieties have larger leaves than others. One well known groundcover variety is called purple wintercreeper because the leaves take on a burgundy hue in the winter.

Your plant looks like it might be one of the smaller evergreen groundcovers that have solid green leaves such as "kewensis".

I used this as a groundcover on a slope in my previous Zone 6 (SW Ohio) garden for many years.

June

juneroses - thank you so much for your help!