The 1860 census is from Fitchburg, Dane, WI - Fitchburg is also the name of a MA town? Do you know the names of any of his siblings? Some of these show a mother as Mary Galvin, and she may have died abt 1870.
Citing this Record: "Wisconsin, Marriages, 1836-1930," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/XRRG-8YM), Denis Hayes and Mary Mckeigue, 13 Oct 1886; citing reference ; FHL microfilm 1,275,533.
Citing this Record: "Wisconsin, Marriages, 1836-1930," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/XR8J-LY9), Denis Hayes and Mary Mckeigue, 13 Oct 1886; citing reference cn 60; FHL microfilm 1,275,533. Reference ID: cn 60
Name: Denis Hayes
Marriage Date: 13 Oct 1886 Rock, Wisconsin
Father: Michael Hayes
Mother: Mary Galvin
Spouse: Mary Mckeigue
Father: James Mckeigue
Mother: Broderick
Citing this Record: "Wisconsin, Marriages, 1836-1930," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/XRF6-GDV), William Connors and Mary Ann Hayes, 03 Jun 1896; citing reference 269; FHL microfilm 1,275,535. Reference ID: 269
Name: William Connors
Father: William Connors
Mother: Bridget Burns
Marriage: 03 Jun 1896 : Rock, Wisconsin
Spouse: Mary Ann Hayes
Father: Michael Hayes
Mother: Galvin
Burial Saint Marys Cemetery, Oregon, Wisconsin
Find A Grave Memorial# 80810963 Child: Cornelius Hayes (1858-1869)
Find A Grave Memorial# 80810976 Mother Mary Hayes (1833 - 1870)
U S Census, 1860 Fitchburg, Dane, Wisconsin
Citing this Record: "United States Census, 1860," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/MWMT-KVQ), Michael Hayes, Town Of Fitchburg, Dane, Wisconsin, United States; from "1860 U.S. Federal Census - Population," Fold3.com; citing p. 105, household ID 717, NARA microfilm publication M653, National Archives and Records Administration, Washington, D.C.; FHL microfilm 805,4
Michael Hayes M 34 Ireland
Mary Hayes F 26 Ireland
Michael Hayes M 7 Wisconsin
Dennis Hayes M 5 Wisconsin
Cornelius Hayes M 3 Wisconsin