In 1910 Annie and sons were living with her father in Shelton, Mason Co., WA.
John Lowe, b. Ireland, 81, immigrated 1873, naturalized before 1910 Census, widower, laborer.
Annie Mahoney, dau, b. NY, 45, gave birth to two children who were alive in 1910, widow.
Richard, grandson, b. WA, 25, single, laborer odd jobs.
George, grandson, b. WA, 22, single, laborer livery stable.
A John Lowe, 86, died 30 Oct 1915, Shelton, Mason Co., WA. Source: Washington State digital Archives, digitalarchives.wa.gov/.
You can request a copy of his obituary from the Washington State Library, secstate.wa.gov/library/ask.aspx or RAndom Acts Genealogical Kindness, raogk.org/washingt3.htm, read guidelines, choose Washington, choose Mason Co.
A George Mahoney on June 5, 1917 was living on Sempson Ave., Shelton. Born=2 Feb 1887, Seattle.
Occupation=Logging for Pat Moran, Mud Bay, WA.
Claimed exemption from World War I because of dependent mother. Source: The National Archives, Ancestry.
A Richard Johnstone Mahoney on Sept. 12, 1918 was living in Shelton, Mason Co.
Born=4 July 1885.
Occupation=Railroad brakeman, Penninsula Railway Co., Shelton.
Nearest Relative=Annie Mahoney, mother, shelton
Source: The National Archives, Ancestry.
In 1920 Annie, Richard and George were living in Shelton.
Annie Mahoney, widow, b. NY, 59.
Richard J., b. WA, 34, single, laborer bridge work.
George, b. WA, 32, single, laborer lumber co.
In 1930 Richard and Anna were living in Shelton.
Richard Mahoney, b. WA, 44, laborer odd jobs.
Anna, mother, b. NY, 70, widow.
A George Mahoney, 57, died 8 Aug 1943, Rural Mason Co. Father=Daniel Mahoney. Mother=Annie Lowe. Source: Death index Records, Washington State Digital Archives, digitalarchives.wa.gov/ .
A Richard J. Mahoney, 66, died 1 Jan 1952 in Olympia, Thurston Co., WA.
Father=Daniel Mahoney. Mother=Annie Lowe. Source: same as above.
You can request a copy of his obituary from Washington State Library or Random Acts Genealogical Kindness.
I didn't find death info for Daniel or Annie. Is there a possibility that Daniel abandoned Annie and married someone else? In the 1887 Washington Territorial Census for Seattle he wasn't listed with Annie, Richard and Baby.
Then in the 1910 Shelton Census Annie claimed to be a widow. Successful Searching!