These are the Robert Wattersons who were of marriageable age in 1806. Looking at possible naming patterns, the one born in 1771 in Malew had a mother, Anne. The one born in 1773 in Douglas had a father, James, although this entry is only a patron submission.

Results for: Robert Watterson, Birth/Christening, 1750 - 1790, Isle of Man, British Isles
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International Genealogical Index / British Isles - 5
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1. ROBT WATERSON - International Genealogical Index
Gender: Male Christening: 22 FEB 1769 Braddan, Isle Of Man, England

2. ROBERT WATERSON - International Genealogical Index
Gender: Male Christening: 30 JUN 1771 Malew, Isle Of Man, England

3. ROBERT WATERSON - International Genealogical Index
Gender: Male Christening: 05 SEP 1773 Kirk Rushen, Isle Of Man, England

4. ROBERT WATERSON - International Genealogical Index
Gender: Male Christening: 09 JUN 1782 Saint George, Douglas, Isle Of Man, England

5. ROBT WATERSON - International Genealogical Index
Gender: Male Christening: 10 SEP 1790 Arbory, Isle Of Man, England

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Hope this helps.

Jean C