<<Disclaimer: Verify this information before applying it to your situation.>>
 
Honey in the US can be adulterated by feeding a high sugar substance (such
as corn syrup, molasses, etc) to the bees who then, during certain seasons,
incorporate it directly into the honey.  (Reputable beekeepers feed these
to the bees only in seasons (Winter,etc.) when the supplementary feeding is
consumed by the bees and not added to the honey.)   Thus, if someone
reacted to corn syrup or mollasses, etc. they might also react to SOME
brands of honey.   In Europe they test the honey for added sugars but not
in the US (at least as of 10 years ago when I was into beekeeping).
 
Powdered honey and honey thickened to make it spreadable (distinguishable
by thick consistency - almost like soft margarine and usually opaque and
white) should definately be avoided unless the specific brand has been
checked to find out what may be in it.
 
It should be noted that ANY unpasturized honey (and most aren't) is unsafe
for ANY infant (celiac or not) as they are very vulnurable to some
microorganisms (bee diseases) carried in honey.   Adults are unaffected, so
the connection may not be made.
 
Best bet:  Get honey IN THE COMB  (this definately rules out "post'bee"
adulteration) from a reputable dealer.