Here are some favorite online browser based graphics applications. All of these work in Chrome.
This is the photo I used to show some of the filters.
Pixlr - flash based, nice set of tools and fairly intuitive. You can save in PNG, JPG, GIF and TIFF as well as the native format which allows you to save in layers if you're working on something that way. It has undo, redo, and lots of filters to modify photos with. Allows saving to your own computer without being logged in. Draw original art or modify photos. In order, the filters applied are Art Poster, Heat Map, Hope and Kaleidescope.
SumoPaint - also flash based, takes a few minutes to load, but when it's loaded there are a lot of great tools in this one. Also allows easy saving on your own computer in JPG, PNG and Sumo format. It's got a lot of filters and brush options. It's a pretty impressive online graphics application.The filters used here are Crystallize, Dithered Poster (which does allow color setting, I just used the colors that are the default) and Detect Edges- grey scaled which I can see being very handy to make embroidery patterns or coloring pages from photographs. Click open Sumo Paint and it opens in a new window.
My daughter's favorite online application is Aviary . Aviary offers a complete suite of graphic applications. Occasionally it does go offline, but usually comes back fairly soon. Free and saves and several formats. Vectors and painting both.
For pure drawing fun, Harmony by Mr. Doob has some very fun brushes to play with. You can save images in png format.
Speaking of the Turnip Girl, she is using a sewing machine now. She was nervous about them. Black Friday 2009 I bought a very simple zig zag and straight stitch machine. I got it because it's light weight enough for me to set up myself and I can use it on a tv tray so I can sit where ever is most comfortable and will do most basic sewing. Because it's not as powerful or as big and scary as my other machines, Turnip Girl is very comfortable using it. So I asked her if she would be willing to write tutorials for some of her sewing projects. She agreed, so hopefully soon I'll be able to start posting those!