Mary's birth record lists only her mother, which generally only happened in the case of illegitimacy. It is likely that Anne Carter was an unmarried woman at the time of Mary's birth. Anne Carter appears as a witness to Mary's marriage to James Budd.
Mary married James BUDD on 11 Jun 1818 in Bepton, Sussex County, England.1 (James BUDD was born in 1794 in Cocking, Sussex, England and died on 10 May 1850 in West Oxford Oxford County, Ontario, Canada.)
Sussex County Parish Records - marriage (familysearch.org). Repository: Call Number:0416708. Surety: 3. June 11 1818 James Budd (marks) of Cocking, Bachelor, and Mary Carter (marks) of this parish by banns by William Jenkins curate before John Venus (marks) Anne Carter (marks).
[with thanks to Paul Budd]. Records marriage of James Budd to Mary Carter on 11 Jun 1818 in Bepton, Sussex County, England. [Extracted from parish records].
2 1881 Canadian Census (Oxford West, Oxford South County, Ontario, Canada). Repository: Latter Day Saints Family Search. Surety: 4. Lists George Budd (age 54, b. England), wife Mary [Smith] (age 48, b. Ireland) and children E. George (age 25, b. Ontario), A. James (age 23, b. Ontario) and E. William (age 17, b. Ontario), living in West Oxford, Ontario. Also in the household is George's mother, Mary Budd (age 91, b. England). George and all three sons are listed as "farmers."
Ontario Canada Deaths, 1869-1932 (West Oxford, Oxford County, Ontario; 1911). Surety: 4. Budd, George
Born: 1 Jul 1826, England
Died: 25 Feb 1911, West Oxford, Ontario
Name of Father: James Budd
Father's Place of Birth: Sussex, England
Name of Mother: Mary Carter
Mother's Place of Birth: England
Name of Informant: C.W. Budd, Foldens [son]
Cameron, Wendy & Maude, Mary McDougall, The Pentworth Emigration Scheme: A Preliminary List of Emigrants from Sussex and Neighboring Counties in England to Upper Canada, 1832-1837 (Toronto, Ontario: Wordforce 1990, 25p.) Surety: 3. Name: James Budd
Family Members: Wife Mary; 7 children
Source Publication Code: 1088.10
Primary Immigrant: Budd, James
Annotation: Date of emigration with intended destination. Spouse and children were assumed by indexers to have accompanied emigrant. Copies of this list can be obtained from Wordforce c/o Wendy Cameron, 305 Heath Street East, Toronto, M4T 1T3 or Mary McDougall Maude,
5 Sussex County Parish Records - baptism (familysearch.org). Repository: Call Number:0416708, 0416746. Surety: 2. Records baptism of Mary Carter, daughter of Anne Carter [spinster? widow?], on 15 Nov 1789 in Treyford With Didling, Sussex County, England. Extracted record.
Ontario Canada Deaths, 1869-1932 (Woodstock, Oxford County, Ontario; 1883). Surety: 4. Budd, Mary
Died: 16 Mar 1883, age 92
Cause of death: old age, 2 days
Informant: John Budd, blacksmith, Woodstock
Religion: Church of England