Hello, This is not my family, however in the census records Isaac and Joseph Burroughs came to Clinton County as early as 1840, Isaac born abt 1803 and Joseph abt 1800 , both in New Jersey, stayed near each other in Marion ,, there was an Isaac in Clinton county in 1820, may have been their father.
Buroughs Isaac - OH Clinton Vernon - 1820
1840 United States Federal Census Name: Isaac Burroughs Township: Marion County: Clinton State: Ohio 1840 United States Federal Census about Joseph Burroughs Name: Joseph Burroughs Township: Marion County: Clinton State: Ohio
Go to Ohio at Usgenweb and go to State resources and you can check by each county. Ohio Vital Record Data By Batch Numbers at familysearch.org