Can I Have a Reaction to Dysport but Not to Botox?

Botulinum toxin type A is the active molecule in both Botox and Dysport. They are both purified from natural sources, but the molecule is encased in other protein molecules, some of which have been removed in Dysport, while the entire natural "complex" is present in Botox. Because these proteins must dissolve away to release the active one, Dysport may do this a bit sooner. There is nothing in Dysport that isn't in Botox though so a reaction to one and not the other seems very unlikely.

Dysport and Botox both contain the same "active ingredient"- botulinum toxin type A.  You are describing symporotms that my be related to the dose of the drug administered rather than a problem with the drug itself.  It is difficult to make direct comparisons, but knowing the dose of each drug used would be helpful when trying to sort out why you may have responded well to one but had problems with the other.

Dysport and Botox are both botulinum toxin A but they are slightly different molecularly.  Dysport units are different then Botox units, and hence the dose you received for Botox would have to be converted or titrated to Dysport units to achieve the same results.  The conversion to Dysport units is based on a formula, but there may be some titration required to give you the same effect.  The reaction you describe may potentially be from too high a Dysport dosage from improper conversion or titration.  Notify your doctor about this reaction.  Regarding the elevation of the eyebrow, this may be from your doctor not placing enough Dysport over the region of the overly raised eyebrow.  The nuances of Botox and Dysport administration require experience and a first-hand knowledge of the facial musculature.  Hope this information helps.