Astle was born on 22 December 1735 at Yoxall on the borders of Needwood Forest in Staffordshire, the son of Daniel Astle, keeper of the forest. He was articled to an attorney, but did not follow up his profession, and went to London, where he was employed to make an index to the catalogue of the Harleian manuscripts, printed in 1759, 2 vols, folio. He was elected a fellow of the Society of Antiquaries in 1763, and about the same time George Grenville employed him in the arrangement of papers and other matters which required a knowledge of ancient handwriting, and nominated him, with Sir Joseph Ayloffe and Andrew Coltée Ducarel, as members of a commission to superintend the regulation of the public records at Westminster. On the death of the two colleagues, John Topham was substituted; he and Astle were removed under Pitt's administration. The same persons were appointed by royal commission in 1764 to superintend the methodising of the records of state and council preserved in the State Paper Office at Whitehall. In 1765 Astle was made receiver-general of sixpence in the pound on the civil list, and on 18 December of the same year he married Anna Maria, the only daughter and heiress of the Rev. Philip Morant, the historian of Essex. In 1766 he was admitted a fellow of the Royal Society, and in the same year he was consulted by a committee of the House of Lords on the subject of printing the ancient records of parliament. He suggested the employment of his father-in-law in this work, and succeeded him upon his death in 1770. After the death of Henry Rooke, chief clerk of the Record Office in the Tower, Astle was appointed to his place; and on the decease of Sir John Shelley, Keeper of the Records, in 1783, obtained the higher office. On the death of Morant in 1770 he came into possession, through Mrs. Astle, of his father-in-law's library of books and manuscripts as well as of a considerable fortune. He died at his house at Battersea Rise, near London, on 1 December 1803, of dropsy, in his sixty-ninth year. By his wife he had nine children. He is buried in Battersea Parish Church and his monument was designed by the London sculptor Charles Regnart.
Collections and works
Astle eventually brought together the most remarkable private collection of manuscripts in the country. Thomas Percy acknowledges his help while investigating ballad literature. He was a conductor of The Antiquarian Repertory, and contributed to the Archaeologia and Vetusta Monumenta of the Society of Antiquaries. In the latter appeared his contribution on unpublished Scottish seals. The editorship of the Taxatio Ecclesiastica and the Calendarium Rotulorum Patentium, has been ascribed in error to Astle; John Caley edited the former work, and Caley with Samuel Ayscough the latter one. His printed books, chiefly collected by Morant, were purchased from the executors in 1804, for the sum of £1,000, by the founders of the Royal Institution. The collection of manuscripts was left by will to the Marquis of Buckingham, in token of the testator's regard for the Grenville family, upon payment of the nominal sum of £500. The marquis caused a room to be erected by John Soane for their reception at Stowe. Astle was an efficient and zealous keeper, working on storage and indexation. A Catalogue of the MSS. in the Cottonian Library... with an account of the damage sustained by fire in 1731 and a catalogue of the charters preserved was published by Samuel Hooper in 1777, with a dedication to Astle. He had no literary connection with the Will of King Alfred, often said to have been translated by him. Sir Herbert Croft was the editor of this work; the translation and most of the notes were furnished by the Rev. Owen Manning. Besides many contributions to the Archaeologia between 1763 and 1802, Astle published the following works:
The Origin and Progress of Writing, as well Hieroglyphic as Elementary, illustrated by engravings taken from marbles, manuscripts, and charters, ancient and modern: also some account of the origin and progress of printing, London, 1784, 4to, with 31 plates; the 'second edition, with additions,' London, 1803, 4to, 31 plates and portrait, contains Appendix on the Radical Letters of the Pelasgians
An Account of the Seals of the Kings, Royal Boroughs, and Magnates of Scotland, London, 1792, folio, 5 plates; also published in Vetusta Monumenta, 1796, iii.
Astle's chief work, The Origin and Progress of Writing, was a contribution to the English literature of palaeography, intended to be a work of diplomatics. The plates were engraved by Benjamin Thomas Pouncey. The preparation of the text and notes of the edition of the Rotuli Parliamentorum ut et petitiones et placita in Parliamento, etc. , London, 1767–77, 6 vols, folio, was undertaken by Morant and John Topham down to 2nd Henry VI, and after that period by Topham and Astle. Dr. John Strachey saw the volumes through the press. The Will of Henry VII was reproduced by Astle in 1775 from the original in the chapter house at Westminster.