I found the Kyle family in 1900 in Civil District 11, De Kalb Co., TN.
W B Kyle, head household, b. TN May 1869, marr @ 23, farmer.
Callie, wife, b. TN March 1861, marr @ 19.
Idella, b. TN April 1882, single.
Ugene, b. TN July 1883.
Will D., b. TN, Nov 1886.
Catharine b. TN, Feb 1888.
Robert M., b. TN, March 1891.
Jessie, b. TN, Feb 1893.
Ida, b. TN, May 1896.
H Clay, b. TN, July 1898.
I looked up the family members you said were in the obituary.
In 1930 Ida and Callie were living in Nashville, Davidson, TN.
Ida Kyle, head household, b. TN, 33, stenographer furniture co.
Callie, b. TN, 69, widow.
Ida died Jan 1876 Nashville, Davidson Co., TN. Source: Social Security Death Index.
In 1920 a Henry Clay Kyle and his family were living in Dunedin, Pinellas Co., Florida.
Henry Clay Kyle, 21.
Mary, wife, 23.
Henry Clay Kyle, 1.
I didn't find where Henry Sr. died.
In 1930 Jessee L. Kyle and family were living in Mount Lake, Klamath Co., Oregon.
Jessee L. Kyle, 36.
Edith E., wife, 33.
Lester A., 14.
Howard T., 6.
William B., father, 70. I think it's interesting that William and Callie were not living together.
A Jesse Kyle born 21 Dec 1893, Last Residence=Portland, Clackamas Co., ORegon 97222, died January 1975. His soc. sec. # was assigned in California before 1951. Source: Social Security Death Index.
You can find a volunteer to copy Jesse's obituary at Random Acts Genealogical Kindness. Go to www.raogk.org, read guidelines, choose Oregon, choose Clackamas Co and choose one volunteer.Hopefully survivors will be listed in the obit.
An Eldridge L Kyle b. 31 Oct 1915, Oregon died 6 June 1977, Yuba Co., CA. Source: California Death Index 1940-97. Look up in RAOGK and see if there is a volunteer in this county who copies obits. Successful Searching!