It did take awhile to figure out your request as you had written Oak Grove Twp. There are a few Oak Grove cemeteries in Tazewell County. There is an Oak Grove Twp. located in Rock Island County, IL. So I looked at some census data, etc. and discovered the Lysander & Susan Kingman information ... Elm Grove Twp.
Elm Grove, Tazewell County, Illinois
Lysander Kingman, 47, b. VA
Susan Kingman, wife, 38, b. West Virginia
Louis Kingman, son, 17, b. IL
Charles Kingman, son, 15, b. IL
Myra Kingman, daughter, 6, b. IL
Ellen Welch, servant, 22, b. IL
June 1863 Civil War registrations:
Lysander Kingman, age 30; Residence: Tremont, IL
John H. Kingman, age 26, Residence: Tremont, IL
Twp: not stated
Tazewell County, IL
Freeman Kingman 50, b. MA
Narissa Kingman 40, b. NH
Lysander Kingman, son, 18, b. VA
John Kingman, son, 16, b. VA
Freeman Kingman, son, 15, b. IL
Mary Kingman, daughter, 9, b. IL
Ann Kingman, daughter, 8, b. IL
Emily Kingman, daughter, 5, b. IL
Augustus Kingman, son, 3, b. IL
Amelia Kingman, daughter, 2, b. IL
Almeda Kingman, daughter, 2, b. IL
There are a few family trees of Lysander Kingman at
which indicate Lysander Kingman died 23 Feb 1869 in Newport News, VA -or- another states death in 1896, no location given.
I have the cemetery book for Elm Grove Twp. and did locate several Kingman burials, however I believe most of them are for the Freeman Kingman family, however not Lysander, his son.
If you would like information of these other Kingman burials, I'd be more than happy to list them for you if you need them.