Ebsworth writes as follows:--

"Hearken strains from one who knew
How to praise and how to sue:
_Celia's_ lover, TOM CAREW."

Thomas Carew (born April 3d, 1590, at Wickham, in Kent) was the son of
Sir Matthew Carew, Master in Chancery, and the grandson of Sir Wymond
Carew, of East Antony, or Antony St. Jacob, between the Lynher and
Tamar rivers in Cornwall, where the family of Pole-Carew lives to
this day. Now, the Cornish Carews have always pronounced their name as
"Carey," though, as soon as you cross the Tamar and find yourself (let
us say) as far east as Haccombe in South Devon, the name becomes
"Carew"--pronounced as it is written. The two forms are both of great
age, as the old rhyme bears witness--

"Carew, Carey and Courtenay,
When the Conqueror came, were here at play"--

and the name was often written "Carey" or "Cary," as in the case of
the famous Lucius Carey, Lord Falkland, and his descendants. In
Cornwall, however, where spelling is often an untrustworthy guide to
pronunciation (I have known people to write their name "Hix" and
pronounce it as "Hic"--when sober, too), it was written "Carew" and
pronounced as "Carey"; and there is not the slightest doubt that this
was the case with our poet's name. If anyone deny it, let him consider
the verse in which Carew is mentioned by his contemporaries: and
attempt, for instance, to scan the lines in Robert Baron's "Pocula
Castalia," 1650--