I am researching the surname Boesl as well.
Your Earl Joseph Boesl maybe one in my family?
My Boesl's came here around 1866 (Joseph & Theresa (Maduska) Boesl)
They had at least 3 children; John Joseph Boesl, William Boesl, and unknown child.
My line is through John Jopseh Boesl who married Coraline Saxton.
I do have a grandson of this Joseph named Earl Joseph Boesl who m. Ada May Vaughn.
Is this possibly your Earl?
When you can email me or post here to me. I'd like to exchange info on this family if we are related.