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| Date from | Date to | Event | Source |
|---|---|---|---|
| 16.1.1677/78 | Lieutenant | CSORN | |
| 1679 | Swiftsure (70)
1673-1696 , Lieutenant ADM 106/341/531British 70 Gun 3rd Rate Ship of the Line | ADM 106 | |
| 8.1680 | 1681 | Tiger (46)
1681-1701 , First Lieutenant ADM 106/367/65British 46 Gun 5th Rate Ship of the Line | ADM 106 |
| 1681 | 11.9.1682 | Newcastle (50)
1653-1692 , Lieutenant ADM 106/367/173British 50 Gun 4th Rate Ship of the Line | ADM 106 |
| 21.8.1683 | Captain Russell. Certifies that Lieutenant David Mitchell served under him in the Newcastle diligently and soberly. | ADM 106 | |
| 31.8.1683 | Brisbane, Derby. Receipt of journals from Lieutenant David Mitchell, 1st Lieutenant of the Tiger under Admiral Herbert and Lieutenant of the Newcastle under Captain Russell for August 1680 to August 1683. | ADM 106 | |
| 20.3.1683/84 | Captain | CSORN | |
| 20.3.1683/84 | bef.24.9.1686 | Ruby (46)
1652-1708 , Captain, and Commanding OfficerBritish 46 Gun 4th Rate Ship of the Line | BWAS-1603 |
| 4.1689 | 7.1690 | Elizabeth (70)
1679-1704 , Captain, and Commanding OfficerBritish 70 Gun 3rd Rate Ship of the Line | B051 |
| 1.5.1689 | Battle of Bantry Bay | ||
| 30.6.1690 | Battle of Beachy Head | ||
| 1693 | 1694 | Duke (90)
1682-1699 , as Flag Officer, Vice-Admiral of the Blue, British 90 Gun 2nd Rate Ship of the Line | BWAS-1603 |
| 7.2.1692/93 | Rear-Admiral of the Blue | CSORN | |
| 17.6.1693 | Battle of Lagos | ||
| 19.8.1695 | Vice-Admiral of the Blue | ADM 6/3 | |
| 1696 | Royal William (100)
1692-1714 , as Flag Officer, Vice-Admiral, British 100 Gun 1st Rate Ship of the Line | BWAS-1603 | |
| 1.1696 | Shrewsbury (80)
1694-1711 , as Flag Officer, Vice-Admiral of the Blue, British 80 Gun 3rd Rate Ship of the Line | B051 | |
| 1.1696 | Norfolk (80)
1693-1717 , as Flag Officer, Vice-Admiral of the Blue, British 80 Gun 3rd Rate Ship of the Line | B051 | |
| 31.5.1699 | 26.1.1701/2 | Appointed Lord Commissioner of the Admiralty | OHMB4 |
| 28.1.1701/2 | Vice-Admiral of the White | CSORN |