Carol, I have an Olympus 7 MP that I keep in the car 'just in case'. It has really come in handy for the shot I don't want to miss and my other P/S is at home. It is small enough for pocket or purse and takes great pictures. Downside is that it only has a 3X optical zoom and you have to use the LCD to frame the picture.
My other P/S is a FugiFinePix, 10 MP, 12 X optical zoom and you can frame with the LCD or though the viewfinder. It is too large for the pocket, might fit in a purse if you have a big enough one. I really have no downside to this camera as a P/S. (Wish I had one of those 'good' ones.)
If you don't care about the extra zoom and aren't shooting in the bright sun, I can really recommend the Olympus.