There is a chapter in the book titled "Societies and Clubs" and the Lodge that you mention (No. 112) is in there, but only the officers are named. Looking through that list I could not find James mentioned. The history states that there were 425 members as of 1914, so that could be why the general membership names weren't listed.
The good news is I found James in another history book that I've put online - "The History of Northern Wisconsin, 1881". It contains a short bio of him. Here it is:
BROWN, James H.
JAMES H. BROWN, engineer N. W. L. Co., was born in Orleans Co., N. Y., Jan. 26, 1836. At the age of fifteen years, he left home and went to Ellenville, Ulster Co., N. Y., where he learned his trade with John L. Cox. After spending three months in Sullivan Co., N.Y., he moved to Chicago. Came to Wisconsin in 1855, located at Green Bay, in the employ of the N. Y. Lumber Co. From there he went to Pensaukee with F. B. Gardner & Co., where he remained about eighteen months. After spending some time in Minnesota, he came up the Chippewa River to Eau Claire in 1859, and engaged with the Eau Claire Lumber Co. On returning from a visit to New York State, went with Bussey & Taylor, of Gravel Island, as engineer one season. Was also engineer for Knapp, Stout & Co., at Waubeck. Mr. Brown was at times on boats running between Eau Claire and La Crosse. Came to Porterville in 1867, and took present position. Married at Oxford, Marquette Co., to Elenora Fay, of Marquette Co., who died in Porterville in 1870, leaving one son, Charles Lee Brown. Was married to Miss Anna Faft, at Portage City, Nov. 12, 1872, by whom he has three children - Ella Marion, Bertha Mower and Frederick Dill.
-Transcribed from the "History of Northern Wisconsin, 1881," page 343
According to the above named book, James was residing in Porterville, Eau Claire Co., WI.