Sir Horace Vere's Regiment - England's 30 Years War unit

I suppose English 30 Years War enthusiasts ought to recreate the regiment led by Sir Horace Vere which was part of England's small military involvement in the conflict. They mainly fought in the Palatinate. Anyone know much about them? There's some details of Vere's expedition here
According to the wiki
Sir Horace was a professional soldier, even-tempered, brave and popular. The Earl of Essex was one of his lieutenants, and the Earls of Warwick, Peterborough, and Bedford served under him, as did the royalist soldiers Lords Grandison, Byron, and Goring. A large number of Englishmen who were afterwards distinguished soldiers served under Vere in the trenches at Den Bosch. Among them were: Thomas Fairfax and Philip Skippon, the future organisers of the New Model Army; Jacob Astley, Thomas Glemham, the future royalist generals; Sir John Borlase, and Henry Hexham, the historian of the Dutch wars. Fairfax, Skippon, and George Monck, particularly, were his pupils in the art of war.[1]