Update 6/11/2017: Here is the last picture. Since nobody responded after I added 2 pics nearly a week ago, I am answering my own question.
Update 6/5/2017: My friend took more pics today! I have added two up top, and am hoping for a more specific ID, please. She said that it is a deep red in there under the yellow petals (if petal is the right word for it). Thank you, all. My original post is below.
My friend has been trying to ID this volunteer plant for months, now. She lives in Ventura, CA. She raises butterflies, and is very environmentally conscious, and helpful to all. But, it is not a host plant for anything that she knows of, and none of the butterfly/moth sites could ID it. Yet, something kept eating it down nearly to the ground. So...she eventually put Diatomaceous Earth on it just so that it could grow enough for ID. She sent me these pics, and the white substance is from the DE sticking to the fuzzy leaves. Thanks for any help. lol I am in VA on the other side of the country, and am clueless about this one.