I think Ray Sewell is correct that a Jemima Kemp Paull was born 10 Feb 1871 but he wasn't right on two points. Firstly, her parents were unmarried. At birth ,she took her mothers surname( Paull) with with her fathers name (Kemp).as a given name. Secondly, birthplace; this appears to be Alford. There is a paternity suit between an Ann Paull and a James Kemp for a child born 1871 (need to pay to see more details). On censuses, her surname appears as Kemp.
In the 1871 census Jemima was in Alford with her grandmother, mother and other assorted relatives.
In 1881 she is with her paternal grandparents and father in 1881
In 1901 a Jemima Black born Alford is with husband Alexander, and children Mary, Alexander, Jane TP. George S.Her age on the transcript is stated as 20. She should be 30: you'd need to see the original image (Scotland's people) to check. It is most probably a mistranscript as they (they have a 10 year old daughter).
Scotland birth and Christenings index
Name: Jemima Kemp Paull
Gender: Female
Birth Date: 10 Feb 1871
Birth Place: Alford,Aberdeen,Scotland
Mother:
Ann Paull
1564-1950 [database on-line]. Lehi, UT, USA: Ancestry.com Operations, Inc., 2014.
Original data: Scotland, Births and Baptisms, 1564-1950. Salt Lake City, Utah: FamilySearch, 2013. (So should be on Family Search)
This appears to be her mother's paternity claim.
http://www.scottishindexes.com/courttranscript.aspx?courtid=1018002
Scotland 1871 Census Parish: Alford; ED: 5; Page: 5; Line: 12
Name: Jemima Kemp
Age: 1
Estimated Birth Year: abt 1870
Relationship: Grandaughter (Granddaughter)
Gender: Female
Where born: Alford, Aberdeenshire
Registration Number: 171
Registration district: Alford
Civil parish: Alford
County: Aberdeenshire
Address: Stronehill
ED: 5
Household schedule number: 16
Line: 12
Roll: CSSCT1871_36
Household Members Age Relationship
Jane Anderson 55 Head
Ann Pull 23 Daughter
Jane Ann Sutherland 6 Grandaughter (Granddaughter)
Margaret Davie 4 Grandaughter (Granddaughter)
Alexr Pirie 2 Grandson
Jemima Kemp 1 Grandaughter (Granddaughter)
George Masson 37 Nephew
Susan Masson 34 Niece
John Masson 11 Children Of Mussen Son
Samuel Masson 9 Son
Isabella Masson 6 Daughter
Susan Masson 2 Daughter
Scotland 1881 census (from.Ancestry.. It should be on Family Search)Parish: Lumphannan; ED: 2; Page: 7; Line: 5
Name: Jemima Kemp
Age: 10
Estimated Birth Year: abt 1871
Relationship: Grandaughter (Granddaughter)
Father's Name: James Kemp
Gender: Female
Where born: Alford, Aberdeen Sh
Registration Number: 220
Registration district: Lumphannan
Civil parish: Lumphannan
County: Aberdeenshire
Address: Perkhill
Occupation: Scholar
Household Members Age Relationship
John Kemp 74 Head
Margaret Kemp 69 Wife
James Kemp 38 Son
Jemima Kemp 10 Grandaughter (Granddaughter)
Marriage to Alexander Black 1894 as on profile
1901 Scotland Census Parish: Aberdeen North; ED: 18; Page: 45; Line: 15; Roll: CSSCT1901_51
Name: Jemima Black
Age: 20
Estimated Birth Year: abt 1881
Relationship: Wife
Spouse's Name: Alexander Black
Gender: Female
Where born: Alford, Aberdeenshire
Registration Number: 168/1
Registration district: St Nicholas
Civil parish: Aberdeen North
County: Aberdeenshire
Address: 48, Jasmine Ter
ED: 18
Household schedule number: 236
Line: 15
Roll: CSSCT1901_51
Household Members Age Relationship
Alexander Black 37 Head
Jemima Black 20 Wife
Mary Black 10 Daur (Daughter)
Alexander Black 3 Son
George S Black 1 mo son
Jane T P Black 2 Daur (Daughter)
(Jemimas age mistranscribed?).