William Browne - Sources needed for William Browne who m. Lydia Ward, including his parents. Did he die c. 1645 or c. 1627? Poet?

One of my sources - Hawkes Family Genealogy Page, online www.hastingscountry.com/hawkes.html, John Hawks came to Dorchester, MA 1630 in Winthrop's fleet, and then to Windsor, CT in 1640 as one of the founders. Ecclesiastical orthodoxy led him, along with his wife Elizabeth Browne, to move to Hadley, MA in 1659 again as one of the founders. Adam Hawkes of Saugus was apparently a brother, and the two came to New England together. John Hawks/Hawkes was born in England and died 30 June 1662 in Hadley, MA.
 John's wife, Elizabeth Browne, was a niece of Nathaniel Ward, an original settler of Hartford, CT. Nathaniel Ward was the son of Edward Ward of Little Wrathing, Suffolk Co., England. On 9 Jan 1620, Edward made his will, proved at Ipswich 7 Mar 1620. He provided for his wife Judith and his children Nathaniel, Edward, Lydia, Mary, Rebecca and Susan.
 Susan Browne, widow of Robert Browne of Ipswich, made her will 22 Mar 1626, proved 24 April 1627. She remembered her mother Judith and both of her sisters, Rebecca Ward and Mary Cutting, as well as "Elizabeth Browne, daughter of my brother-in-law William Browne." As Lydia Ward was the fourth sister, it was she who married William Browne and their daughter Elizabeth was the niece of Nathaniel Ward (of Hartford). Elizabeth Browne married John Hawks in about 1642.
 John & Elizabeth's children were all born in Windsor. At a meeting held at Nathaniel Ward's house in Hartford, 18 Apr 1659, John was among those present who signed the agreement to remove from Connecticut to Massachusetts. They moved to Hadley, MA around 1660. John died suddenly and was buried 30 June 1662 in the Hadley Cemetery. Elizabeth married 2) Robert Hinsdale as his second wife about 1668.
Also - 2 sources from Ancestry.com

William Browne, of Tavistock

https://archive.org/stream/cu31924084672959#page/n213/mode/1up

William Browne of Tavistock, Poet, son of Thomas.

I've unlocked the fields for the WIlliam Browne who married Lydia Ward, so far I think he could be the son of the Rev Robert, Christened in London at Stepney

Lydia Ward whose sister Susan's niece MAY have married a John Hawkes did not marry William Browne as evidence in family wills of the Ward family. She married William Markham and their son is executor on Lydia's brother's will. The marriage record for Lydia and Markham has also been found.
Much conjecture has been made that Lydia married William based on one article in regards to the will of Susan (Ward) Brown in which she mentions Elizabeth Brown, daughter of my brother-in-law William Brown. Her husband was Robert Brown, it stands to reason she is referring to her husband's brother. If she was referring to Lydia's daughter she would likely have said my sister's daughter. That information has since been duplicated in many articles and online trees.