Carol,
Are you saying that Daniel Lutes' wife Ida is not the Ida May born to William and Mary? On the marriage certificate for Pearl Lutes, her mother signed as Ida Laswell (see Illinois Marriage Index, Ida and Charles were married in 1884 before Pearl was married). I believe the Ida May Lutes, the one you list born in 1862 to William and Mary is the mother of Pearl Lutes. The questions I have are:
(1) Why didn't William list Ida May as a daughter on the 1880 census?
(2) Is it possible Ida May was a daughter-in-law and that Daniel was William and Mary's son?
I've attached scanned copies of part of the marriage documents that I received from Fulton County.