| Children |
| | 1. BRUSESSON, Ragnvald 2nd Earl of Orkney, b. 1011, Orkney, Scotland , d. Dec 1046, Killed by Thorfinn's chief minister Thorkel Forsterer, Papa Stronsay, Orkney, Scotland (Age 35 years) [natural] |
| | 2. BRUSISDATTER, Ingreda, b. 1013, Orkney, Orkney Islands, Scotland , d. Orkney, Scotland [natural] |
| | 3. BRUSISDATTER, Margarita, b. 1015, Orkney, Orkney Island, Scotland , d. Orkney, Scotland [natural] |
| | 4. BRUSISON, Olaf, b. 1017, Orkney, Orkney Island, Scotland , d. Orkney, Scotland [natural] |
| | 5. BRUSESSON, Grimer, b. 1020, Orkney, Scotland [natural] |
| | 6. DEBRUS, Robert, b. 1025, Brix, Manche, Basse-Normandie, France , d. 1030 (Age 5 years) [natural] |
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