David, I believe I have found some information that may help you:
www.google.com "Advanced search" "Exact Phrase" : Alvin Neal Allen
Info as follows:
"Thelma Louise Eidson, daughter of Toy Young Eidson and Bessie F. White Eidson, was born 7 Dec 1925 in Springdale, Arkansas and married July 1944 to Alvin Neal Allen who was born 12 Sep 1922 in TX, son of Lee Allen. Alvin Neal Allen worked for the State of California as an Agricultural Aide in the Dept. of Food and Agriculture. the couple had four children:
Barbara June Eidson b. 9 May 1945 married BURNS and lived No. Highlands, CA.
Susan Louise Allen b. 9 Aug 1946 and married Wm. Kyle Eidson, II.
Michael Neal Allen b. 7 May 1950 and lived Citrus Heights, CA.
Joel Mac Allen b. 9 Feb 1954 and lived Orangevale, Sacramento Co, CA "
All of this was under "Descendants of Edward Eidson , Sr. 7th Generation"
Also on the Social Security Death Index:
Alvin N. Allen b. 12 Sep 1922 died 2 April 1991, Ft. Worth, Tarrant Co, TXcard issued in CA.
You might try the various places the children are shown to have lived and see if any are still there. A good place to try is yahoo.com"people search" and try for example Burns in No. Highlands, CA and see if any come up.
Also try just William Kyle Eidson without any state and see what comes up.
Also try Michael N. Allen in Citrus Heights, CA or just Allen in that town.
Also try Allen in Orangevale, CA.
Hope this helps you.At least you are on the right track!
This is not my family....have no other information.