The History of Parliament has good coverage of this family:

MORLEY, John I (d.1587), of Halnaker, Suss. and St. Botolph-without-Aldersgate, London.
   MORLEY, John II (c.1572-1622), of Halnaker, Suss. and St. Botolph-without-Aldersgate, London.
   + Cecily Caryll
      MORLEY, Sir William (1606-1658), of Halnaker, Boxgrove, Suss.
      + (abt. 1625) Mary Heath
          [son]
          MORLEY, Sir William (1639-1701), of Halnaker, Boxgrove, Suss.
          + (1660) Mary Lee
          + (1662) Anne Denham
              [son, d. 1683]
              MORLEY, William II (1666-93), of Halnaker, Boxgrove, Suss.
              [2 daughters]
          + (bef 1672-1679) Anne Mynne
          [2 sons]
          [4 daughters]
      [son]
      [2 daughters]
   MORLEY, Edward (c.1579-1620), of the Inner Temple, London and The Broyle, nr. Chichester, Suss.
   + (1606) Katherine Devenish
      [male]
          [male]
   William
   + Cicely

Further detail is provided in Berry's pedigree, but, if Berry's pedigree for the Morleys of Glynde is any indication (see analysis in The Morley Families of Amounderness and Lonsdale), this pedigree may not be entirely trustworthy.

See also: Morley Creditors of the Third Earl of Cumberland.

Some documents from the 1570s and 1580s referencing the founder of this family:

• 1578: Agreement. "Thomas Crompton and John Morley of London, gents., and Thomas, Lord Buckhurst" [Add MS 3862]
• 21 Eliz. [c. 1579]: "Thomas Crompton and John Morley of London, gentlemen to The Queen: Surrender of the rectory of Brackley Half: Northants". [E 210/10558]
• November 1580: John Morley and Thomas Crompton, both of London, admitted to Inner Temple [Students admitted to the Inner temple, 1571-1625, ed. W.H. Cooke, p. 36]
• 28 Eliz. [c. 1586]: Staffordshire Final Concord identifying John Morley as an armiger [Collections for a History of Staffordshire, Volume 15, p. 167].
• 1587: "Exemplification of a Common Recovery. Thomas Crompton, esq. and Edmund Downynge, gent., v. Robert Petre and John Morley." [GOODWOOD/E295]