Yep. They're mealy bugs. I looked this morning, though, and mostly saw
what I think are whiteflies. They look a bit like tiny sesame seeds
covering the dill.

Oh, and Mike, I loved having the caterpillars! The kids got a kick out
of it, too. They grow so fat! That's some good dill. Or it was. I'll
get the soap.

Thanks everyone!
Sandra
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Sandra Jackson
http://www.austinartist.net