I'd give the plant a misting of Listerine...the regular brown kind, not the minty stuff. I get the store brand rather than the name brand as it's too expensive.
I've used it in the past when I've seen stuff like this and it has worked in preventing it from going any further.
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Wow Suzanne, I have Little Stars also and that is a good piece of info I will tuck away in case. Listerine, huh? Learn something new every day here on the OB.
Thanks! kiki-do