You are so right about info on the web! As Sonia (anson) pointed out in an earlier post we do have LOTS of drama! Much info can be easily be found but we, humans, want the "quick fix!"
A note on semantics...it's a caterpillar not a worm. They are two very different creatures. The tomato hornworm is not a worm, but a caterpillar. You probably know that but it has always been something that irks me 
The "parsley worms " turn into the lovely Black Swallowtail butterfly so don't be too quick to rid your garden of them! It's actually a lot of fun to raise them to adulthood during the summer or if a late brood they will winter over (my post on other forum has a great site linked)
Below is a kids link re: the toxicity info. The others are more scientific but I will post if you want. BTW, even though they are less toxic in the earlier instars I would not risk feeding them at any stage to your chams. Just b/c the toxins are not yet built up in the caterpillar does not mean your cham can handle it. Good work on paying attention to the bright colors!
As for your carrots I would assume they are pretty far along at this point (depending where you live) so the damage to the root (carrot) itself may be minimal
glad I could help!
lele
>>I appreciate your response. I couldn't find anything on them regarding toxicity, but because of the colors I figured I'd post the question. I did some web searches before I posted but didn't find what I was looking for. As a last resort I posted here.
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>> I try to practice what I preach. Too many folks are too quick to post questions when the answers are already in the archives. Folks get too anxious & want answers now instead of doing some research on thier own. With the web at our finger tips, most any thing is possible.
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>> The dang worms are eating my carrot tops. Now they are turning brown. Oh well, carrots are cheap enough. I did see some of the worms early on. They were brown with black & white speckles. Like you said, looked like bird poop or peat clumps. They stayed balled up. I fed those with no problem. When I saw the bright colors a flag went up.
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>> A bit of searching & I found that you had raised them. So I directed the question to you.
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>> Anyways, thanks again.
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>>Ww
Black Swallowtail