I searched through the California death index and did not come up with a Raymond Padilla that was born in 1888, although there were many Raymond Padilla's there. There are many variations of Raymond that I am going to search through, also.
I searched for Estafana (by first name only, since I assume Padilla to be her maiden name), and I came up with seven hits in the Social Security Death Index. The URL for the search is: http://ssdi.rootsweb.com/cgi-bin/ssdi.cgi
and instead of typing in a last name, just type in ESTAFANA for a first name. There are only 7 hits.
I believe there is a New Mexico Death Index online, but I do not know if there is a New Mexico Birth Index currently available online. Other than that, there are the Texas Death and California Death Indexes available online at Rootsweb.com that might be of some use. Also, I suggest joining the mailing list for the Arizona Census (if it is available) at Rootsweb and inquiring there to see if he was on the 1890, 1900 or 1920 census.
Hope some of this helps you!