Dear Annie Huey:
Thank you for posting on History Hub!
FamilySearch.org is a free genealogical website that only requires an account. This website will help you find genealogical information on Katherine Burton. I suggest starting with the United States Census and here is a good source on How to Begin Genealogical Research. Her personal papers may not have been published or donated to an archive.
cemetery record: Kathryn Burton (1887-1969) - Find A Grave Memorial
burial notice: from Plain Dealer (Cleveland OH) 23 Sep 1969
1907 freshman class yearbook photo U.S., School Yearbooks, 1900-1999 - Ancestry.com
1910 Census with parents & siblings Ancestry.com - 1910 United States Federal Census
1915 NY state census Ancestry.com - New York, U.S., State Census, 1915
1925 NY state census Ancestry.com - New York, U.S., State Census, 1925
1930 US Census Ancestry.com - 1930 United States Federal Census
[familysearch.org is a free research site you just need to sign up for a user name & password; Ancestry.com is a subscription website]
I’m not sure if you already have this information about Katherine Kurz Burton, but I did find two archived newspaper obituaries online which may be of interest to you.
Bronxville Review Press and Reporter, 25 September 1969 (page 1, continued on page 4)
Courier-Journal, 03 October 1969 (page 4)
Hope this helps.