Hi Barbara,
I can't help with the place name of Ann Borland's birth place in Ayrshire, it doesn't come up on any searches that I have done, but I was able to find 11 children born to Ann Borland and Andrew Cowan on Film # 457273 which shows her marriage to Andrew Cowan in 1781, Sorn Ayr.
If you didn't have all these kids , I hope this will help in some way.
Regards,
Linda....

1. Andrew Cowan - International Genealogical Index
Gender: Male Christening: 26 MAY 1782 Sorn, Ayr, Scotland

2. Mary Cowan - International Genealogical Index
Gender: Female Birth: 12 SEP 1786 Sorn, Ayr, Scotland

3. Elizabeth Cowan - International Genealogical Index
Gender: Female Christening: 24 MAR 1789 Sorn, Ayr, Scotland

4. Ann Cowan - International Genealogical Index
Gender: Female Birth: 16 SEP 1791 Sorn, Ayr, Scotland

5. William Cowan - International Genealogical Index
Gender: Male Christening: 05 JUN 1794 Sorn, Ayr, Scotland

6. Robert Cowan - International Genealogical Index
Gender: Male Birth: 20 APR 1796 Sorn, Ayr, Scotland

7. William Cowan - International Genealogical Index
Gender: Male Birth: 15 MAY 1798 Sorn, Ayr, Scotland

8. Jean Cowan - International Genealogical Index
Gender: Female Birth: 29 APR 1800 Sorn, Ayr, Scotland

9. John Cowan - International Genealogical Index
Gender: Male Birth: 23 MAY 1802 Sorn, Ayr, Scotland

10. Janet Cowan - International Genealogical Index
Gender: Female Birth: 24 JUN 1804 Sorn, Ayr, Scotland

11. Agnes Cowan - International Genealogical Index
Gender: Female Birth: 19 JUL 1805 Sorn, Ayr, Scotland