Tom,

 The Carolina Windom uses  a section of  balanced  line between the antenna 
and  coax.   Most off center fed Windom type dipoles use a balun  an  direct 
50 ohm coax feed.  Going way back to the 20's  the original Windom used  a 
single   wire to feed the long  part of the antenna.

As you do your research, you will see that  there are a number of ideas as 
to how to put this thing together.  Some variations in the exact placement 
of the feed point  along the antenna and  also as to what balun to use: 4:1 
or 6:1 are the most popular choices.   The guy who puts  his feed point at a 
particular point and uses a particular balun has all the  scientific proof 
that he is right.  Of course the guy who puts  his feed point at a different 
point with a different balun also has proof that he is right.   Do your 
homework and make your choice.

Nice thing about a off center fed dipole is that it is broadbanded and  you 
will need little tuner use on it's main bands of  operation.  Had a 80-10 
meter  one up here for a while and liked it  except that it gave me some RFI 
in the shack on 80 running 500 watts. Perhaps I could have solved the RFI, 
but  since I like 160 meters, I went back to my trusty loaded, shortened 
dipole for 160/80/40.  Like David said, a   loaded dipole for multi bands is 
another good choice.

Good luck, I'll look for you on 160 this winter.

Steve KW3A