Her name appears in documents spelled a variety of ways, including Deademia, Diadima, and Damie. Her descendants prefer Didamia.

In the Munro-Fraser biography of Larkin Cockrill in 1880, she is listed as having three sons and three daughters that survived, while four children were deceased.

Didamia Cockrill was a member along with her husband and family of the Hagans-Cockrill wagon train from Pleasant Gap, Missouri to Sonoma County in 1853.

There is a 43 (b. 1809) year old C. S. Stamps (born in Tennessee) family from Missouri (including a 6 week old infant) is listed (lines 40 - 45) in the California 1852 Census for Sonoma County (page 39) recorded August 19, 1852. William Boyd Hagans' and James A. Cockrills' families are listed on the same page. This individual is listed as C. F. Stamps in the 1860 Census for Sonoma County, and the family is listed (dwelling # 151) as living in the Analy Township. Whether there is a relation here or not is unknown at this time.

There are a few deed transfers with Didamia's name listed in the Sonoma County Deed Index:

An extracted transcription of Didamia's rather extensive probate file is available here.

In Jo Ann Levy's The Saw the Elephant: Women in the California Gold Rush (University of Oklahoma Press: Norman, OK, 1992), p. 195, "Mrs. Cockrill" is erroneously attributed of living in Napa:

In thinly populated Napa Valley, Rebecca Woodson found "great comfort" when the Larkin Cockrill family moved nearby. She soon got acquainted with them and enjoyed "many happy hours" spent with Mrs. Cockrill: "There was scarcely ever a day we were not together. We did not think we could start a new dress or start piecing a quilt without consulting each other.

Her reference for this was from a manuscript by Rebecca Hildreth Nutting Woodson, A Sketch of the Life of Rebecca Woodson which is in the California State Library in Sacramento. An abstracted transcription of this document is available here.