No such thing. And there's many shades of white and at least a dozen differant paint companys with 4 differant finishes,from flat, semi gloss, gloss, egg shell ECT.
Walls and ceiling are almost never paint with enamel paint there painted with Acrilic Latex.
There's also dozens of way to texture a wall or ceiling. It could be splatter, popcorn, knock off, rolled joint compound with a cource stiff roller, trowled, sponged, sand in the paint ECT.
Often times the home owner has a left over can of paint stuffed away in a closit someplace.
If not you can cut a 2" X 2" sample out of the paper on the wall or just take the whole piece you cut out and take to to Lowes or HD and they can color match it for you.
Often time it takes some trial and error to match up a texture. I'd suggest buying at least a 2' X 2' piece of sheetrock (Lowes has them for patch jobs) and playing with the tecneque until you match it. Your going to have to sand off some of the texture around the new patch so tape can be installed and have it lay flat. You will need to prime the patched area before painting.