I checked Texas Death Certificates and couldn't find Robert E. or Emily Alice but did find 3 sons, confirming this is correct Emily Alice New:
Texas Death Certificate:Arvel C. Lacey wm 76 of 834 W. Euclid Ave, San Antonio; b. 14 Jan 1896, Mountain Home, tx; d. 02 Sep 1972, Bexar Co, Tx; WW I Vet; f: Robert Elihah Lacey; m: Emily Alice New; info: Jack A. Lacey; burial: Zion Lutheran Cemetery, Helotes, Tx.
Texas Death Certificate:John P. Lacey wm 68 of Box 640, Fredericksburg, Star Route; b. 18 Apr 1894, Tx; d. 05 Feb 1963, Kerrville, Kerr Co V.A. Hospital; f: Robert Lacey; m: Emily New; info: Hospital Records; married, WWI Vet; burial: Nichols Cemetery, Kerr Co, Tx.
1920 Ca, San Diego Census: North Island, San Diego Township, Walter A. Lacey wm 17 (1893) Tx/Tx/Tx, married listed with other soldiers.