Extract from the 1855 New York State Census:
Name: Amena Lambert [sic]
Age: 27
Estimated birth year: 1828
Birthplace: Canada
Race: white
Sex: female
Relationship to head of house: wife
Home in 1920: Cicero, Onondaga, New York
Marital status: married
Home owned or rented: owned
Dwelling type: frame
Dwelling value: $400
Years of residence in this town: 1
Occupation: not listed
Date: 22 Jun 1855

Extract from the 1860 Census:
Name: Almena Lambert
Age in 1860: 32
Estimated birth year: 1828
Birthplace: Canada
Race: white
Sex: female
Relation to head-of-house: presumably daughter
Living with: Francis and Rosele Bibo, ages 65 and 73, both b. Canada
Home in 1860: Winsted, McLeod, Minnesota
Post office: Rocky Run
Occupation: servant
Census place: Winsted, McLeod, Minnesota; Roll M653_571; Page: 361; Image: 366; Family History Library Film: 803571
Date: 8 Jun 1860

Extract from the 1875 Minnesota State Census:
Name: Mary H Lambert
Age: 46
Estimated birth year: 1829
Birthplace: Canada
Race: white
Gender: female
Residence county: McLeod
Residence state: Minnesota
Locality: Hutchinson
Father's birthplace: France
Mother's birthplace: Canada
Census date: 1 May 1875
Line: 34
Roll: MNSC_11

Extract from the 1880 Census:
Name: Ermina Lambert
Age: 51
Estimated birth year: 1829
Birthplace: Canada
Race: white
Sex: female
Relationship to head-of-household: mother
Living with: Elijah Lambert, age 33
Home in 1880: Township 125, Traverse, Minnesota
Marital status: widow
Father's birthplace: Canada
Mother's birthplace: Canada
Occupation: keeping house
Census place: Traverse, Minnesota; Roll: T9_635; Family History Film: 1254635; Page: 360.2000; Enumeration District: 2
Date: 7 Jun 1880

Extract from the 1885 Minnesota State Census:
Name: Mary Lambert
Age: 57
Estimated birth year: 1828
Birthplace: Canada
Race: white
Gender: female
County: Traverse
Locality: Arthur
Parents of foreign birth: yes
Date: 1 May 1885
Line: 1
Roll: MNSC_20

She was born in 1828 or 1829 in Quebec, Canada.
The death certificate of her son Elijah H Lambert lists her name as "Mary Bebo" not Bibo. Perhaps her original name was Bibeau, since she was born in Quebec, and likely her name would have been French.
She was a convert from Roman Catholicism to Swedenborgianism [Emanuel Swedenborg, Swedish scientist, mystic, philosopher and theologian, 1668-1772; his followers founded the Church of the New Jerusalem].
She and her husband lived in a tiny town named Brewerton, on Lake Oneida, in New York state, until he abandoned her and the children.
She and the children migrated via the Ohio River and then up the Mississippi River from Cairo to the Glencoe, Minnesota [McLeod County] area and homesteaded there.
She died in Fergus Falls, Otter Tail, Minnesota.

Death notice from the "Ugeblad" of Fergus Falls, Minnesota dated 12 Feb 1890:
Mrs. Lambert, mother of the Lambert Brothers here in town, died on Sunday in her son's house in the inner part of town. She was 63 years old.
[Note: original in Swedish.]

Children:
(1) Elijah H Lambert
(2) Mary Elizabeth Lambert
(3) Emanuel Swedenborg Lambert.