Wow! The second photo is even more beautiful. Most cats are domestic shorthair, or “mutt” (moggie is the cat term.) She looks like she is probably a moggie. But, that doesn’t mean she isn’t exquisitely beautiful and unique. I think moggies can be the most distinctive and lovely cats. (I have four at my house now and they are all lovely.)
Edited to add….Even moggies get fun names for their markings. I think she’d be called a brown (or gray?) tabby with white with red (the genetic term for orange) mixed in (not sure that would be the right terminology but I gave it a shot.) Also, her markings are almost classic tabby (which is a swirl pattern.) But they might be between classic and mackerel (which is stripes going down the side if I recall correctly.)
Or, some might call her a torbie, a tortoiseshell/tabby. Tortoiseshell is three colors all mixed together, while calico is 3 colors in distinct patches. Tri-colored cats are female 99% of the time.
Here are a couple of fun links with more info on tabby stripes and coloring…
http://cats.about.com/cs/tabbycats/a/tabby_cats.htm
http://icanhascheezburger.com/2011/01/12/funny-pictures-guide-house-cat-patters/