I can add that Thomas Neesham married Catherine (Catalina) Johnson in Nov 1628 at St Martin's Vintry in London
Catalina was a widow as her father Roger Cole states in his will "my daughter Catalina JOhnson"
I later tracked down Catalina's first marriage 21.1.1623 to John Johnson at St Saviour's Denmark Park by Licence, have not traced the licence
Bob p.s these are my ancestors.
Catalina was dau of Roger Cole and Anne Maisters.
Roger was son of William Cole of Sudbury in Suffolk and Catalina de Gallegos daughter of Ferdinando de Gallegos of Spanish nobility.
PM me and I can forward more details.