Sounds like the 'yard begonia' I was introduced to when I first moved down here. (Your LA is Louisiana, like mine, isn't it? Sometimes it means Los Angeles, and sometimes people thing that's where I'm from!) I haven't been satisfied with the possible names I've found for it, but I think it's a semp species. Mine is usually more white than pink, tho' it's 'pink-ish'--makes lots of seeds and has to be cut back periodically to keep it looking tidy, but I like it very much. Strictly no care!