Dueling retronyms today: Land O Lakes offers Traditional Half and Half, while Harris Teeter sells Original Half and Half. Both, of course, mean half-and-half, as opposed to something they call fat-free half-and-half.
As the helpful folks at Harris Teeter point out, half-and-half is made with real milk and cream. To be precise, half-and-half is milk and cream. Half of each. What, then, would fat-free half-and-half be? It would be the same thing as fat-free heavy cream or fat-free light cream or fat-free whole milk or fat-free "2 percent" or "1 percent" milk: It would be skim milk. Of course, the dairies aren't selling skim milk and calling it fat-free half-and-half. They're selling a chemical potion formulated to look and taste like half-and-half, but with a fat content low enough to meet the federal guidelines for a "fat-free" label.
Another blogger explored the ingredients list on a carton of "fat-free half-and-half." I'll leave Eric Schlosser and company to address those horrors (and the fact that even the "traditional" and "original" products include disodium phosphate, sodium citrate and sometimes carrageenan). Meanwhile, I'll suggest that Land O Lakes and Harris Teeter and the others offer me a choice between half-and-half that requires no elaboration and "artificially flavored coffee creamer."