I am not related to this family but I did find an obituary for Naomi Richwine--I believe the reason you have not found her death record is that she died in Indianapolis:
from The Republican (Danville, Indiana)--issue of Thursday, June 28, 1962--page 6, column 4:
Mrs. Naomi Moore, a life-long resident of Pittsboro, died, Wednesday of alst week, in the Methodist Hospital, Indianapolis, at the age of 70 years.
She was a member of the Bethesda Baptist Church of Brownsburg.
Services were conducted, Saturday, in the Jones & Matthews Mortuary in Brownsburg with burial in Mount Tabor Cemetery, there.
Survivors include two daughters, Mrs. Ruth Joseph of Lizton, and Mrs. Ila Mae Hardesty, of Indianapolis; a son, Floyd Moore, of Brownsburg; a brother, Forrest Richwine, of Brownsburg; seven grandchildren and one great-grandchild.
I also found some other information that may help you, including the fact that Richard & Laura's daughter Emma apparently went by her middle name, Ethel:
from The Republican (Danville, Indiana)--issue of Thursday, November 9, 1939--page 3, column 6:
Dayton H. Moore Dies
Dayton H. Moore, age 54, died Monday morning following a heart attack suffered about 7 o'clock the night before.Mr. Moore had been in ill health, however he had enjoyed Sunday visiting his family at the home of Mr. and Mrs. Jesse Louder.Funeral services were held Wednesday afternoon at the Mt. Tabor church at Fayette, and burial was in the Fayette cemetery.Surviving are the widow, two daughters and one son, Mrs. Oscar Joseph, Nina May and Floyd. Mr. Moore had spent his entire life farming in Hendricks and Boone counties.In 1918 he married Naomi Richwine of near Brownsburg.About two years ago they moved to Pittsboro, where they purchased the Frank Kirk property.
from The Republican (Danville, Indiana)--issue of Thursday, April 10, 1930--page 1, column 6:
DIES FROM BURNS
Mrs. Forrest Richwine, age 32, living north of Pittsboro, died, Sunday, following severe burns caused, Wednesday, as a result of an explosion of a gasoline stove in her home.Mrs. Richwine was a sister of Mrs. Clark Howell.It was only a few months ago when the father, David Phillips, was killed in a railroad crossing incident, near Maplewood.Mrs. Richwine is survived by the husband and four children.
from The Republican (Danville, Indiana)--issue of Thursday, April 25, 1974--page 6, column 1:
Forest C. Richwine
The body of Forest C. Richwine, age 77, Brownsburg, was interred in the Greenlawn Cemetery, Brownsburg, following services from the Jones & Matthews Mortuary, there.The Rev. Dennis Dodson officiated.He died, April 17, in St. Vincent Hospital, Indianapolis.
A retired farmer, he was a native of Brown Township born Feb. 25, 1897, the son of Richard and Laura McDaniel Richwine.He was a member of the Corinth Church.
Survivors include the widow, Edna Richwine; four children, Meredith and Robert, both of Brownsburg; Francis and Phyllis, both of Jamestown; also several nieces and nephews.
from The Republican (Danville, Indiana)--issue of Thursday, February 26, 1948--page 10, columns 1-2:
Richard T. Richwine Dies
Richard T. Richwine, age 86, died last Thursday morning at the home of his daughter, Mrs. Naomi Moore.He was born in Circleville, Ohio, and at the age of two came with his parents to Clermont, where he grew to manhood.In 1886 he was married to Miss Laura McDaniel.They lived on a farm north of Bethesda Baptist Church where he was a member for 56 years.His wife preceded him thirty years ago.He came to live with his daughter about two years ago.Surviving are another daughter, Mrs. Ethel Strawmeyer, of Fayette, and one son, Forest.Twelve grandchildren and nine great grandchildren.Funeral services were held Saturday morning at the Bethesda Church with the Rev. Mr. Harmon in charge.Burial was in Greenlawn cemetery at Brownsburg.
from The Republican (Danville, Indiana)--issue of Thursday, September 8, 1960--page 10, column 2:
Mrs. Ethel Strawmyer of near Brownsburg died, Friday, in the Witham Hospital in Lebanon at the age of 71.
She had lived her entire life in and near Royalton and was a member of the Bethesda Baptist Church, near Brownsburg.
Survivors include four sons, Lester D. Strawmyer, Leo R. Strawmyer, Marvin A. Strawmyer and Marion W. Strawmyer, all of near Brownsburg; a daughter, Miss Thelma Mae Strawmyer, of Logansport; nine grandchildren; a brother, Forest Richwine, of Brownsburg and a sister, Mrs. Naomi Moore, of Pittsboro.
Services were conducted in the Jones and Matthews Mortuary, Sunday afternoon.Burial was in the Green Lawn Cemetery in Brownsburg.
from the WPA Index to Marriages in Hendricks County (1824-1920):
--Richwine, Emma E. to John A. Strawmeyer Dec 10 1912 Book 14, page 94
--Richwine, Forrest to Eunice Phillips June 12 1918 Book 14, page 522
--Richwine, Naomi A. to Dayton H. Moore May 15 1918 Book 14, page 515
from the WPA Index to Supplements for Hendricks County Marriages (1882-1920):
mother: Laura McDaniel
age at next birthday: 22
date of marriage: June 22 1918
mother: Lara McDaniel
age at next birthday: 24
date of marriage: Dec 11 1912
--Richwine, Neomia A.
mother: Laura McDaniel
age at next birthday: 27
date of marriage: May 15 1918