"The Navy Records Society publishes in print and online rare and original documents on naval history. Since 1893 it has produced over 160 printed volumes." https://www.navyrecords.org.uk/
The books below are available via the Trible Library's collection; either in print or online.
Documents Relating to Law and Custom of the Sea by The Royal Navy and North America: The Warren Papers, 1736-1752 by The Private Papers of John, Earl of Sandwich (1770-1778)Letters Written by Sir Samuel Hood (Viscount Hood) in 1781-2-3, Illustrated by Extracts from Logs and Public Records by Index to James' Naval History, edition 1886 by Two Discourses of the Navy, 1638 and 1659 by 
Naval Accounts and Inventories of the Reign of Henry VII, 1485-8 and 1495-7 by The Journal of Sir George Rooke, Admiral of the Fleet, 1700-1702 by Letters and Papers relating to the War with France, 1512-1513 by Papers Relating to the Navy during the Spanish War, 1585-1587 by Letters and papers of Admiral of the fleet Sir Thos. Byam Martin, G.C.B. by Dispatches and Letters relating to the Blockade of Brest, 1803-1805 by Logs of the Great Sea Fights, 1794-1805 by Nelson and the Neapolitan JacobinsSelections from the Correspondence of Admiral John Markham during the years 1801-4 and 1806-7 by Fighting Instructions, 1530-1816 by Recollections of James Anthony Gardner, commander R. N. (1775-1814) by Letters and papers of Charles, Lord Barham: Admiral of the Red Squadron, 1758-1813 by Signals and instructions, 1776-1794, with addenda to vol. 29 by Papers Relating to the Loss of Minorca in 1756 by Letters and Papers relating to the First Dutch War, 1652-1654 by 
Elizabethan Naval Administration by 
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The Naval Route to the Abyss: The Anglo-German Naval Race 1895-1914 by This link opens in a new window
The Milne Papers The Royal Navy and the Outbreak of the American Civil War, 1860-1862 by This link opens in a new window
The Mediterranean Fleet, 1930-1939 by This link opens in a new window
The Naval Miscellany Volume VIII by This link opens in a new window