Thanks Taco.

This is certainly closer to what I'm trying to do, but I still have a
problem with the chapter names missing from the header of every odd/left
page.  Below is how I setup the headers:

\setupheadertexts
  []        % even left
  [section] % even right
  [chapter] % odd left
  []        % odd right

Any ideas?

Thanks,
James

-- example --
%%% Layout
\setuppagenumbering[
  alternative=doublesided,
  style={\sc},
  location={footer, marginedge},
  partnumber=no,
  way=bytext]

\setuppapersize[a4][a4]  % paper size (210 x 297 mm)

\definelayout[even]               % Even = Left
             [topspace=14mm,      % at the very top of the page
              bottomspace=14mm,   % at the very bottom of the page
              header=6mm,         % for header
              headerdistance=4mm, % between body and header
              footer=6mm,         % for footer
              footerdistance=4mm, % between body and footer
              backspace=38mm,     % binding edge space
              cutspace=32mm,      % opposite to binding edge
              leftmargin=25mm,    % space for margin notes
              rightmargin=25mm,   % space for right margin notes
              width=fit,
              height=fit]

\definelayout[odd]                % Odd = Right
             [topspace=14mm,      % at the very top of the page
              bottomspace=14mm,   % at the very bottom of the page
              header=6mm,         % for header
              headerdistance=4mm, % between body and header
              footer=6mm,         % for footer
              footerdistance=4mm, % between body and footer
              backspace=38mm,     % binding edge
              cutspace=32mm,      % opposite to binding edge
              leftmargin=25mm,    % the space for margin notes
              rightmargin=25mm,   % the space for right margin notes
              width=fit,
              height=fit]

\setuplayout
  [location=doublesided]  % double-sided pages

\setupheader[style={\it}]
\setupheadertexts
  []        % even left
  [section] % even right
  [chapter] % odd left
  []        % odd right

\definetext[chapter][footer][pagenumber]
\setupheadtext [chapter=Chapter]

\setuphead
  [chapter]
  [command=\MyChapterText,
   style={\sc\tfc},
   placehead=yes,
   color=black,
   number=yes,
   continue=no,
   page=,
   header=high,
   footer=chapter,
   distance=0pt,
   before=\setups{chapter:before},
   after=\setups{chapter:after}]

\def\MyChapterText#1#2{\vbox{\sc\tfc\headtext{chapter}~#1\blank[small]#2}}

\startsetups [chapter:before]
  \page[left]
  \noheaderandfooterlines
  \vbox to 35mm{}
  \vbox{\blank
  \startalignment[left,nothyphenated]
    \noindent \setups[chapter:quote]
  \stopalignment}
  \resetsetups[quote:text]
  \page[right]
  \noheaderandfooterlines
  \vbox to 35mm \bgroup
\stopsetups

\startsetups [chapter:after]
  \vss\egroup
\stopsetups

\showframe

%%% Text
\starttext

\startsetups[chapter:quote]
  \vbox{My quote goes here\par
    \it{---author from ``source'', 1900.}}
\stopsetups

\chapter{This is a split chapter title\blank[small]%
         On two lines}

\input tufte

\section{Section One}
\dorecurse{3}{\input tufte \par \input knuth \par}

\section{Section Two}
\dorecurse{3}{\input tufte \par \input knuth \par}

\startsetups[chapter:quote]
  \vbox{My quote goes here\par
    \it{---author from ``source'', 1900.}}
\stopsetups

\chapter{A short title}

\input tufte

\section{Section One}
\dorecurse{3}{\input tufte \par \input knuth \par}

\section{Section Two}
\dorecurse{3}{\input tufte \par \input knuth \par}

\stoptext