Elizabeth Mace's FindAGrave memorial clears most of the rest of it up.
Find A Grave, database and images (
https://www.findagrave.com : accessed
02 January 2019), memorial page for Elizabeth
Mace Annis Potter (25 Jan 1850–30 Jan 1920), Find A Grave Memorial no.
39081170, citing Sandy City Cemetery, Sandy, Salt Lake County, Utah, USA ; Maintained by Annis Family Association (contributor
47125484) .
Elizabeth Mace, daughter of Thomas Mace and Elizabeth Gorlis, died 30 Jan 1920.
"Utah Death Certificates, 1904-1964", database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XZGN-6XQ : 11 September 2015), Myron J Potter in entry for Elizabeth Potter, 1920.
Potter was an alias for her husband Myron Annis. In 1916, Elizabeth applied for a pension:
"United States General Index to Pension Files, 1861-1934", database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:QJDG-PB2Y : 13 March 2018), John M Or Myron J Potter Or Annis, 1916.
So, Walter Price's mother may have been born Elizabeth Potter or Elizabeth Annis. At some point, she started using her mother's maiden name Mace.