Usually I can get the sooty mold off of plants by first killing the bugs and then using soap and fungicides (daconil) to kill the mold. I haven't tried neem oil yet, but I will try that tomorrow.

The plant is better but still quite a bit of stubborn black stuff on it. I guess it is possible that it is not sooty mold but if so, then what is it and why won't daconil or soap get rid of it?

I have rinsed the plant many times and let it dry in the sun so it is not for lack of rinsing.

Here where I live we can get what is called 'wooly aphids'. They create a wooly white substance and we treat it with a Safer's soap product called End-All II , usually have to repeat 5-7 days later.
Usually wash off an hour afterwards so not to create damage to leaves and it is a contact product, so it has to contact pest to kill it.
This white that I speak of is not just level with surface like that of powder, it is 3 dimensional .

I am wondering if the alcohol treat that Karyn mentioned to me might work on this also.
Check it out before proceeding.

I looked up the Safer product; it has insecticidal soap, neem oil and pyrethrins. I have used acephate, soap and next will try neem but I can't use pyrethrins due to my cat.

Where is this alcohol treatment from karyn posted?