Did some more surfing around the net to see what else I might be able to find on the Hagaman family, hoping that it might shed some light on where my branch of the Moulton line was living and to add some more descendants. Here is what I found:
At the website, The Worcester Family, was an online version of Jonathan Worcester's The Worcester Family, or the Descendants of Rev. William Worcester. (W.W. Kellogg, Lynn, Mass., 1856) and Sarah Alice Worcester's The Descendants of Rev. William Worcester With a Brief Notice of the Connecticut Wooster Family. (E.F. Worcester, Publisher, Hudson Printing Company, 1914), which listed the children of Charles Sherman & Lydia (Moulton) Hagaman as :
1- Clara Eliza, b Jan. 14, 1869, d Mar. 29, 1904, St. Joseph, Mo.; m Jan. 14, 1892, Joe Postlewart. 2- Lydia Emeline, b Oct. 17, 1870; m Jan. 10, 1898, R.D. Ward.
3- Wallace Joel, b May 28, 1872; m Aug., 1901, Rose McCully.
4- Charles Albert, b Nov. 28, 1874; m Dec. 18, 1892, Gertrude Onslow.
5- Nettie Jane, b Mar. 31, 1877; m Feb. 5, 1899. Farmer.
I also found Charles Sherman Hagaman in the 1900 census of Rich Hill Township, Livingston County, Missouri, with wife Lydia, and son Charles. By 1910, Charles Sherman & wife Lydia were living in the same township next door to their son Charles, along with granddaughter Mattie Postalwait. By the 1920 census of Rich Hill Township, Livingston County, Missouri, Charles Sherman was living with his son Charles, listed as aged 75 and widowed.
A search of the Missouri State Archives Death Certificates did not turn up a match for Charles Sherman Hagaman. However, Lydia's death certificate from October 17, 1916 in Chillicothe shows that she was born January 15, 1849 in Bureau County, Illinois. Her father was given as Albert Moulton, birthplace unknown, and her mother as Emeline Philbrick, born in Ohio. The informant was her daughter, Nettie Farmer of Jackson, Miss. Lydia was buried in Edgewood Cemetery.
Looks like I should be able to find Lydia & her parents, Albert & Emeline (Philbrick) Moulton in the 1850 census of Bureau County, Illinois. The hunt goes on.