What is really difficult is the manner of discrepancies on the internet. Portulaca amilis looks exactly like your plant Christine and yet I saw photos labeled P. pilosa that also look like it. And then I just saw plants labeled P. amilis and P. pilosa that are neither.
In time I hope this forum on ATP can correctly identify here in California the portulaca. I'm traveling right now so don't have time but if I find a nursery I will find out if they can help.
But for now, I am also changing my opinion to Tiffany's opinion yours being Portulaca Amilis.
