The link to your original post does not work, but here is a reply.
You gave no birthdates. The following death index entry may be your Carl, and since he died in Santa Clara County, you might have better luck posting at the Santa Clara Board. You posted at the Alameda County Board.
CAULKINS CARL W Born: 08/03/1886 Mother: FROST Father: CAULKINS M Born: NEW YORK died: SANTA CLARA 02/03/1946 Age: 59 yrs
The following Arthur Frost Caulkins was born in 1924, so maybe he was a son of Carl W?? Again, the board for Los Angeles County may be better since that is where he passed away, if this is your guy.
CAULKINS ARTHUR FROST born: 09/18/1924
mother: ELPHIE father: CAULKINS M born: NEW YORK died: LOS ANGELES(19) 08/23/1946 age: 21 yrs
The above is from the California Death Index at http://vitals.rootsweb.ancestry.com/ca/death/search.cgi