Hi Susan -  Broomfields are mentioned on this site:
 
http://www.labradorvirtualmuseum.ca/history/6

 

Also: 
 
Posted by KAREN on April 06, 19102 at 12:29:27:
LOOKING FOR INFO ON WILLIAM BROOMFIELD WHO CAME TO BATTLE HARBOR LABRADOR IN THE LATE 1700'S , HAD A SON JOSEPH WHO MARRIED INUIT LADY , THOMAS WHO MARRIED A MARY JACQUE FROM MAKKOVIK AREA AND A DAUGHTER MARY WHO MARRIED AN ENGLISH MAN SAMUEL THOMAS ANY INFO ON ANY OF THIS WOULD BE APPRECIATED .
 
This is Karen's e-mail address:

 

 <[email protected]>

 

There is also a Richard Broomfield who appears to have a lot of info on the Broomfields.  His address:
 
[email protected]
 

Another site:  http://www.rumbolt.com/rumbolt.html
 
It seems that your William Broomfield went with John Broomfield (his brother?) to Canada with the company T. & D. Slade of Poole, Dorset.
 
Marian