After all that positive news from Betty ;) perhaps there is a better idea. From the Massachusetts Archives web site...

"Vital records after 1920 are located at the municipal clerks' offices and the Department of Public Health, Registry of Vital Records and Statistics (150 Mount Vernon Street, Dorchester, MA 02125). Researchers may contact the Registry of Vital Records at 617-740-2600, or through the DPH website:
www.mass.gov/dph/rvrs

"Indices of the DPH vital records volumes through 1971 are available at the Archives, although there are no copies of the actual records at the Archives. These indices can be used by visitors to the Reading Room."

Why not send an email to the Archives requesting a lookup in the index, which I believe provides the date of death in addition to the volume/location of the actual record? (As stated above, the actual record does not exist at the Archives, but if you only want the date, then the index might suffice.)
http://www.sec.state.ma.us/arc/arcres/residx.htm

They may take a little bit of time to get back to you, but it will probably be a more positive experience than trying to deal with Everett.

And do try the library approach as well. I'm just not sure that the directories exist.

John