Don't know if you are still out there or not, or if you have found this info already, but here is what I know:
Kate Hawk (b. 1881) married William F. Eutsler on 22 Aug 1899, in Muscatine, Iowa. She was the daughter of Cornelius and Margaret (Snyder) Hawk. He was the son of David Frank and Phoebe Jane (Metteer - which I belive to be correct - or Mateer or Matteer or Meter or Metter - as it is found in the records) Eutsler.
David Frank Eutsler was the son of Michael Eutsler and Matilda Davis. The family was from Rockingham, Virginia and moved to Muscatine between 1851 and 1855.
Phoebe Jane Metteer was the daughter of William Metteer and Sarah Guiles. I am just starting my research of this family and know very little.
I am descended from the William F. Eutsler's sister Emma Rosetta Eutsler and found this information when researching the family. I have more on the Eutsler family (particularly David Frank, less on earlier generations and on the Metteer and Guiles families) feel free to send me a message.