Since you seem to have the census records from 1900 onward. Here is what I find which you May not have.
From ( Leashy/Little/Digby/Kaier) Ancestry Family Trees
Hugh Walles Leahy, b Nov 1871 Whiteside Co. Ill., died 10 Dec 1942, Sterling Whiteside Co. Married Apr 25 1897 Jennie Little in Whiteside Co. She was born 24 Jul 1868 Cook Co. Ill., and died 19 June 1943, Tampico Ill, the daughter of Park Little, b 22 Dec 1841 in Cononbie Dumpfrieshire Scot., and died 1 may 1916 Dwight Kansas, and Mary Lockie, b 26 Aug 1844 Lochmaben Dumpfrieshire Scot. and died 6 Apr 1917, Tampico Ill. ( The Lockie line continued back a couple more generations.)
Hugh was the son of Daniel Leahy, b Feb 1844 in Ireland. He married Jan 14 1866, in Whiteside Co, to Margaret Walles, born abt 1850 in Ill. The daughter of Lawrence Walles 1802, and Clarrissa White1817. Daniel is most likely the son of Patrick Leahy amd Nellie/Ellen () See 1870 census at Prophetstownimage #8 , and Cemetery oft St Mary's at Tampico Ill. for Patrick and Ellen and Daniel and Margaret
I am not related , only a volunteer, I hope this will be of help in your search.Howard Boswell