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Do you have Andrew and Jane's marriage cert, that would give you Andrew's father's name:

Marriages Jun 1892 (>99%)
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COCKRANE Jane Ann Carlisle 10b 880a
McCracken Andrew Carlisle 10b 880a

What about this one? Living in the village Jane was born in:

1881 Scotland Census
about Andrew McCraken
Name: Andrew McCraken
Age: 7
Estimated birth year: abt 1874
Relationship: Grandson
Gender: Male
Where born: Dalton, Dumfriesshire
Registration Number: 837/2
Registration district: Kirkpatrick Fleming
Civil parish: Kirkpatrick Fleming
County: Dumfriesshire
Address: Redhouse Cottage
ED: 2
Household schedule number: 26
Line: 24
Roll: cssct1881_324
Household Members: Name Age
John McCraken 50
Margret McCraken 54
Margret McCraken 15
Andrew McCraken 7

Birth: 11 FEB 1873 Dalton, Dumfries, Scotland

Parents:
Mother: MARY MCCRACKEN

Same one in 1891?:

1891 Scotland Census
about Andrew McCrackin
Name: Andrew McCrackin
Age: 18
Estimated birth year: abt 1873
Relationship: Serv (Servant)
Gender: Male
Where born: Kirkpatrick, Dumfries Shire
Registration Number: 827
Registration district: Gretna
Civil parish: Gretna
County: Dumfriesshire
Address: Torduff
Occupation: Tarm Serv
ED: 7
Household schedule number: 22
Line: 24
Roll: CSSCT1891_394