Joboy,

Found Touchar, Touschard, Tousaint and Touschard.
No mention of these or Touchin, Touchet in the The Oxford Dictionary of English Surnames .
Mo,

One reference to Lorrain
The Oxford Dictionary of English Surnames a ref: in 1333 (in Scotland) from Lorraine (France)
Beth

One reference to De Rivals and one Revole; Also a reference to Widow Revel of Bankside (Southwark England) inferring that she was already living here at the time.
The Oxford Dictionary of English Surnames , earliest reference 1130 Hertfordshire.
So to sum up, Joboy looks a likely candidate;

Moscan and Elizabeth

probably earlier than the Huguenots arrival, but you won’t know until you get back, passed the early 1600’s.
Good luck in your searches.
Patricia