According to the Indiana State Family and Social Services Administration website, many of the early patient records were destroyed. Their site says:
There are some archive books listing very limited patient information. To contact Richmond State Hospital for genealogy records contact Jay Wenning the director of our medical records department.
That page also says:
Indiana State Archives
(http://www.in.gov/icpr/archives/featured/csh_aiin/csh_hosp.html)
apparently has some materials. According to their website:
"Richmond State Hospital (1890-present) (formerly Eastern Hospital
for the Insane) Richmond State Hospital has served people with mental
illness from 18 counties in eastern Indiana for 105 years. Collection
Description: Annual Reports; List of Patients, 1887-1923; Medical
Records (sampling), NEED DATES. "
Contact the State Archives for arrangements to search their
collection.
On another page reviewing state institutions, the Indiana Archives and Records Administration says:
Richmond State Hospital (1890-present - formerly Eastern Hospital for
the Insane)
This hospital, popularly known as “Easthaven,” opened in 1890 on a
1000 acre campus near Richmond in Wayne County. It serves counties in
east central Indiana. Richmond is still in operation. As of June
2008 it had admitted 42251 patients. The hospital maintains a
complete admission index. A sample of the medical records has been
sent to the State Archives; the remaining records were destroyed.
You may not be able to get any information apart from the dates when she was admitted.
Before making a request for medical records from an institution or from the state archives, it helps greatly to organize everything you already have collected about a person. See Beth Foulk's post Creating Timelines to Make Sense of Genealogy Records from her site Genealogy Decoded -- she has also shared her Excel template which you can use as a guide. Timelines help us narrow the dates in which people might have been in the hospital, making any search in archives much easier to do.