Hi Rob:
Very unlikely due to the fact that urban yard trees are very expensive and time consuming to remove. Therefore, the cost of urban/yard tree removal far exceeds the yard tree's value as a traditional sawlog. However, some arborists will sell or mill a small percentage of their better logs.
So, to answer your question -- you likely won't find anyone to purchase your standing yard trees due to the simple fact that urban tree removal is very expensive -- frequently more expensive than the value of the tree as a potential sawlog.
What you'll have to do is pay someone to remove the tree(s) and then try to find someone to sell the logs after the trees felled by the arborist (assuming your yard trees are actually of sawlog quality for milling purposes).
Illinois Directory of Custom Sawmills: http://www.illinoisurbanwood.org/documents/ILCustomSawmillsDirectory2011.pdf
