Lewis A Lyle married Daisy Hamlett 22 May 1910 Cedar County MO. His DC is here http://www.sos.mo.gov/images/archives/deathcerts/1953/1953_00032657.PDF
He was in California in the 1920 census with Daisy and kids Vernon T and Genevieve, I suspect Daisy died in California.

His father was William Lyle as you know and his grandfather was Ezra Alexander Lyle. His grandmother was Clementine A Richardson and her DC is here:
http://www.sos.mo.gov/images/archives/deathcerts/1912/1912_00008627.PDF

Artie O's DC is here:
http://www.sos.mo.gov/images/archives/deathcerts/1956/1956_00008768.PDF

I'll keep digging for info on Henry

John R