I found the Rose Family Tree, trees.ancestry.com/tree/2774263/person/-1813937394 which contains Prescott Clay Kitchen and family. It also has pictures. Most larger libraries provide free access to Ancestry.
"The many friends of Mr. and Mrs. E. N. Kitchen will regret to learn that Friday eveneing they received news of the death of their son Clay Kitchen in Colorado. They received a telegram from their daughter Mrs. Margaret Hilsabock of Chicago stating that Clay had been injured the day before while working on the railroad at La Junta, Colorado and that he passed away without regaining consciousness. The telegram also stated that the funeral had been held."
"The parents were anxious to learn some more particulars about the son's death and telegraphed immediately to the ticket agent at La Junta. A reply came this morning stating that the agent did not know anybody by the name of Clay Kitchen. It seems very probably Mr. Kitchen, who was a railroad man, might have been working on the road several miles from La Junta and that the ticket agent would thus know nothing about the accident. The relatives are, however, taking up the matter with the officials of the Santa Fe railroad so that it is expected more details will be forthcoming."
"Mr. Kitchen was 40 years of age and leaves an immediate family of a wife and two sons. They made their home at La Junta. They last heard of Mr. Kitchen regarding his special work on the railroad was that he was conductor of an extra train crew on construction work." Source: Rose Family Tree.
If his obituary was published, the La Junta Tribune 1881-May 31, 1944 was being published when he died. The Colorado Historical Society has copies from Jan. 1, 1898-Dec. 31, 1917.
You can contact them at historycolorado.org/researchers/online-research . Successful Searching!