Well, Googling it did no good, and a quick visual of the Cape Town area with Google Earth didn't show it, but I could have missed it. You might want to try a closer look yourself. You might keep in mind also that the name may have changed over almost 200 years...perhaps reverting to the original African language name, say, or Mr./Ms. Lyman fell out of favor with the locals and they changed it to another name, meaning you need to find an old chart. Perhaps it is simply too small a bay to merit notice now.
If you really want to go nuts over it, try searching with this.
Maptech : Topo Maps Charts Navigation Software GPS and Online MapServer it's a bit clumsy, but (bless Maptech's heart) free and detailed.