My Grandmoter, Mary Alice Pomeroy Mather was a charter member of the
Fort McKinney Chapter of the D.A.R. in Buffalo, WY.  My daughter now
wants to apply for membership in a local D.A.R. chapter.  How/where
can we get the linage papers used by my Grandmother?

Hello.

It seems that the DAR have stored past membership applications on
microfilm.

"The DAR Library... maintains the membership applications of those who
have joined the Daughters of the American Revolution. Each member's
application shows how they are descended from a Revolutionary War
patriot and includes the sources that the person used to prove their
descendancy. For a small fee, any member or potential member can
request a copy of the application of a deceased ancestor."
source: "What You'll Find at the Daughters of the American Revolution
Library"
http://www.genealogy.com/24_dar.html

"The Seimes Microfilm Center serves as the depository for NSDAR
applications"
http://www.dar.org/natsociety/allabout.html

How to obtain copies:

"Application papers of active, deceased, resigned, or dropped DAR
members may be requested from the Office of Registrar General, Record
Copy, for a fee of $10.00, check payable to Treasurer General, NSDAR."
http://www.dar.org/cgi-bin/natsociety/content.cfm?ID=146&hd=n&FO=Y

Copy request form:
http://www.dar.org/darnet/forms/RGR-1000.pdf
[This document is in PDF format, so the Adobe Acrobat       
Reader is required. If you don't have that, please visit Adobe's web
site:  
http://www.adobe.com/products/acrobat/readstep2.html  ] 

DAR contact information:
http://www.dar.org/omni/contact.html

search strategy:
dar, library, "membership applications"

I hope this helps.  Good luck!

I could not find an answer.  The question I asked was not the same as
you stated.  My question was: where can I find my grandmother's linage
records? She was a charter member of Fort McKinny chapter in Wyoming
which no longer exists.