I think the William Nevins referred to is this one in Callaway County.
Name: Wm R Neiems
[Wm R Nevins]
Age in 1860: 16
Birth Year: abt 1844
Birthplace: Missouri
Home in 1860: Round Prairie, Callaway, Missouri
Gender: Male
Post Office: Boydsville
Value of real estate: View image
Household Members:
Name Age
John Neiems 54
Elizabeth Neiems 18
Wm R Neiems 16
Parley B Neiems 15
The map overlay for Boydsville is here:
http://www.historicmapworks.com/Overlay/?m=480700&c=US
Given the above it is easy to see the route of the patrol north out of Jeff City along the railroad north to New Bloomfield then North on to Boydsville and the Nevins household then west southwest to Cedar Creek in the direction of Leasel Lindsey's mill (southeast of Ashland) then generally south to Claysville (far south Boone County on river) then southeast back to Jeff City. John Nevins was an early settler of the area with land grants in 1828. He is found with daughter in Fulton Mo in 1870 census.
The biggest error in the OR report is the writer talks of patrolling in Boone Co but most of the time he was actually in Callaway County ergo east of Cedar Creek.
Bloomfield in the OR is actually New Bloomfield Callaway County as illustrated here:
http://www.historicmapworks.com/Overlay/?m=480695&c=US
The previous map posting for Lindsey's Mill is repeated here and includes Claysville:
http://www.historicmapworks.com/Overlay/?m=480460&c=US
Hibernia is described below which helps those of us not familiar with the names in the OR and gives us a reference to current maps. From Wikipedia for Cedar City MO:
"The site of Hibernia was a choice river landing site among French trappers and traders and also among the early Kentuckians of territorial and early statehood times, because of its natural harbor at the confluence of the river and two major streams. Hibernia established itself as a center for river commerce and early migration landing site for both keelboat and steamboat traffic on the river and remained strong in its position among river landings throughout the early steamboat period.
When Jefferson City was named, by Governor McNair, as the site for the capital for the State of Missouri, a number of Irish settlers came to work on the new capitol building. The site that they selected to settle was on the North bank of the Missouri River at the confluence with Cedar Creek and Turkey Creek. The name Hibernia was the name given to the river landing site and settlement by the first postmaster, Patrick McMasters Dillon. Hibernia was taken from the ancient Latin name of Ireland, and that name was well applied to honor the small settlement of Irish immigrants who had made their home there
In 1834, John Yount and William B. Scott, purchased patents on the lands in section sixteen on which the village of Hibernia and its river landing were situated. The land patent of William B. Scott bore the notation, “assignee, Cedar City Land Company”, foretelling the future of Hibernia. With the continued growth of Jefferson City and establishment of landings on the North bank of the river directly across from Jefferson City, and three miles to the East of Jefferson City, Hibernia’s position on the river was diminished. It remained a favored steamboat landing nonetheless. With the gradual loss of steamboat traffic and decline of steam boating itself in the 1870s, the village of Hibernia faded in prominence and gradually became known as Cedar City, with the name of the post office being changed to Cedar City in 1871. With this change the fate of Hibernia was sealed and was to gradually fade from memory."
Assuming (with all the inherent risks) then the best fit name wise would the William R Nevins listed as Private Co H Clark's Infantry. I've not dug into this CSR for confirmation. Not sure why he would be listed as Captain in the OR.
John R