William Skipwith (later Sir William) was the son of Henry Skipwith Esq. of Keythorpe, Leicestershire, and his wife Jane, widow of Francis Nele of Prestwold and Cotes, but by birth the daughter of Francis Hall of Grantham, Lincolnshire.
Henry and Jane had four sons (William [later Sir William], Francis, George & Henry) and nine daughters (Jane, Ursula, Margaret, Catharine, Dorothy, Bridget, Anne, Alice & Elizabeth).
Henry died in 1588 and Jane in 1598.

Sir William Skipwith purchased the Prestwold and Cotes estate in Leicestershire. [Note: The English place name is written without a 'u']

Sir William married twice:
1. Margaret, daughter of Roger Cave of Stanford, Leicestersire (now in Nottinghamshire). They had four sons (Henry [later Sir Henry], George, Thomas + one unnamed son) and 4 daughters (Jane, Anne, Elizabeth + another unnamed daughter.
It is probable that the unnamed children were stillborn or died in early infancy.
Margaret died in 1594.
2. Jane, widow of John Markham of Sidebrook, but by birth the daughter of John Roberts. Jane died in 1630. They did not have any children.
Sir William died on 3 March 1610.

Sir Henry Skipwith of Cotes and Prestwold was born on 21 and baptised at St. Andrew's Church, Prestwold on 29 March 1589. He was created a Baronet on 20 December 1622.
Sir Henry married twice:
1. Anne (documents say 'Anne' rather than Amy) 3rd daughter of Sir Thomas Kempe of Olantigh, Kent. They married at Olantigh on 7 July 1609. They had seven children:
Sir William, born 1613; Sir Henry, born 1615; Elizabeth, born 1617; Thomas, born 1619; Diana, born 1621; Sir Grey, born 1622; Anne, born 1623. The births and baptisms of all the children are recorded in the Parish Register.

Later descendants or more recent amateur genealogists 'decorated' Diana with the title "Lady" but, apart from the surviving male heir, the children of Baronets did not have a title. The assumption of  pretentious titles and even bogus Pedigrees was not uncommon in early Colonial America.

I hope you will find this information useful.

Sources: "History of the Parish of Ormsby-cum-Ketsby in the County of Lincoln". Messingbird 1893.
"The History and Antiquities of the County of Leicester". Nichols 1800.
"Lincolnshire Pedigrees". Maddison Harleian Society 1904.

Regards,

Martin Wood