I found Anastasia O'Connor Griffin and family on the Cheney-Narum Family Tree on Ancestry. I've asked the author mellowwine to contact you.
According to their family tree, Anastasia O'Connor was born 11 Aug 1848, Prince Edward Island, New Brunswick, Canada. She arrived in the U.S. in 1865. She married Henry E. Griffin about the same time.
In 1870 they were living in Olympia, Thurston Co., Washington Territory.
Henry E. Griffin, b. MA, 35, cabinet maker, real estate $5,000 and personal property $700.
Anastacia, wife, b. New Brunswick (NB), Canada, 21.
Adie A., dau, b. Wash. Terr, 5.
This is one of the earliest Census entries I've seen in Washington Terr. My two territorial pioneer families were in Wash. before 1889 and I thought they were here early until finding yours.
On 20 April 1871 they were living in Thurston Co., Wash. Terr.
Hary E. Griffin, b. MA, abt. 1835, carpenter.
A., wife, b. NB, 24.
Lizzie, b. Wash. Terr., 1.
Mary Fullin, b. RI, 18.
In 1875 they were living in Thurston Co.
Henry E. Griffin, b. MA, abt. 1835, carpenter.
A., wife, b. NB, 30.
L. C., dau, b. Wash. Terr., 4.
A. E., dau, b. Wash. Terr., 3.
In 1877 they were living in Thurston Co.
H. E. Griffin, b. MA, abt. 1835, Carpenter.
A., wife, b. NB, 32.
L. C., dau, b. Wash. Terr., 7.
A. E., dau, b. Wash. Terr., 5.
Henry, b. Wash. Terr., 2.
In 1880 the family was living in Union, Union Co., OR.
H. E. Griffin, b. MA, 45, cabinet maker.
Anastasia, wife, b. NB, 35.
Lillie C., b. Wash. Terr. (WT), 9.
Evalena, b. WT, 8.
Franklin, b. WT, 5.
Emory Clinger, boarder, apprentice cabinet maker.
Louis Lemeing, bdr, apprentice cabinet maker.
Henry died after 1885 when his last child, Edna, was born and before the 1900 Census. I'd look in Union County, ORegon for his death info.
In 1900 Anastasia & Edna were living in Los Angeles Ward 6, Los Angeles Co., CA.
Anastasia Griffin, b. Prince Edward Island, NB, Can, Aug. 1850, immigrated 1865, widow, had given birth to five children but only three alive in 1900, grocery store.
Edna M., dau, b. OR Mch 1885.
A Lillie Griffin married Schuyler Mitchell July 2, 1895 in Pacific Co which was recorded July 18, 1895. Source: Washington State Digital Archives.
I clicked on the record but it was for another couple. I asked the Archives to investigate. We need more info to be sure this was your Lillie.
Per the Cheney-Narum Family Tree, Evalina Anastasia Griffin was b. 19 June 1873, Olympia, Thurston Co., WA. She married John McCune Crothers 5 Nov 1891, Portland, Multnomah Co., Oregon.
In 1900 they were lodgers with the Cramer family in San Francisco, San Fran co., CA.
John M. Crothers, lodger, b. OH Nov 1864, marr 9 yrs, restaurant keeper.
Eva, wife, b. WA June 1871, 28.
Florence, b. OR Sept 1893.
Helen, b. CA Dec 1898.
In 1910 they were living in Los Angeles Assembly District 71, Dist. 154, Los Angeles Co., CA.
John M. Crothers, b. OH, 41, marr 19 yrs., steward hotel.
Eva A., b. WA, 37.
Florence E., b. OR, 17.
Helen A., b. CA, 11.
J. Russell, b. CA, 7.
According to the Cheney-Narum Family Tree John died 16 July 1924, Los Angeles, L.A. Co., CA.
You should find a copy of John's obituary. I'm not sure how to do this in Los Angeles Co. but I'd look for a volunteer at Random Acts Genealogical Kindness or the Los Angeles County Library.
However in 1920 Eva had remarried and was widowed in Cucamonga, San Bernardino Co., CA.
Eva Barth, head household, b. WA, 47, father born-MA, mother born-Can., widow, no occupation.
An Eva Anastasia Cornish b. 19 June 1873, WA died 4 July 1957, Los Angeles Co. Mother's Maiden Name-Oconnor. Father's Surname-Griffin. Source: California Death Index 1940-97.
I'd pursue a copy of her obituary too.
I didn't find any additional informatin about Henry b. 1874, Olympia. I think Henry died before the 1880 Census because he wasn't included on it. I checked the Washington State Digital Archives but didn't find him there although not all of the death records have been loaded yet.
Franklin b. 1875, Olympia was on the 1880 Census but didn't find anything after that date.
Per the Cheney-Narum Family Tree, Edna Mary Griffin died 2 Aug 1975, Orange, Orange Co., CA. I'd pursue her obituary too. Successful Searching!