Kenneth G. Wilson (1923). The Columbia Guide to Standard American English. 1993.
playwright (n.), playwrite (v.)
A playwright, like a shipwright, makes or builds something (the word wright comes from an Old English form of worker and is related to wrought); to write plays is to do playwriting, although the playwrighting spelling also occurs. Edited English usually insists that a maker of plays is a playwright and that the craft be called playwriting, not playwrighting.