According to the Saint Louis Art Museum, Mary, Lady Guildford's surname was Wooten. It also lists her year of death as 1535. However, she died in September 1558.
However, also according to the Saint Louis Art Museum, her surname was Wotton.
And according to The Met, her surname was Wotton.
So far in my research, I have only found the spelling of Wotton, except for the one example of Wooten from the Saint Louis Art Museum. I will be reaching out to the museum to inquire about the spelling of her surname, as well as correcting her year of death. I know that there was no standardized spelling in the 16th century. For example, Boleyn (as in Anne Boleyn, the 2nd wife of King Henry VIII) had her family's surname was documented as Boleyn, Buleyn, Bolen, Bulleyne, Boleyne, Bolleyne, Boyleyn, Bowleyne, Bulloigne, and Bullen.
According to FamilySearch.org,
"Mary Wotton was born in 1499, in Boughton Malherbe, Kent, England, her
father, Sir. Robert Wotton, was 44 and her mother, Anne Belknap, was
39." According to The Met, her father Robert Wotton was Controller of the Royal Household and a Garter Knight.
After 26 December, 1523, Mary became the second wife of Sir Henry
Guildford.
In 1527, Hans Holbein the Younger painted portraits of both Sir Henry and his wife, Mary, most likely to celebrate his position as "Master of the Revels" by arranging ceremonies at Greenwich to mark a peace accord between England and France.
According to the Saint Louis Art Museum, "Holding her prayer book and turning to face the viewer, this 27-year-old
is the very image of matronly respectability. Hans Holbein added a
Renaissance column topped with forms he knew from Italy. The artist also
incorporated green grape vines and leaves (symbols of wealth) and his
favorite blue to create a background of considerable beauty. The
preparatory drawing for this painting shows a captivating young woman
who glances off to the side. In the finished painting, Holbein changed
Mary’s gaze to suggest a more serious wife. This alteration was probably
the request of Mary’s husband, Henry Guildford, who held the important
post of comptroller to King Henry VIII."
The preliminary sketch that Holbein drew of Mary is held at the KunstMuseum Basel.

Sir Henry Guildford died on 28 May, 1532 in Kent, England. He was buried in Blackfriars, London, England.
By July 1540, Mary had married for a second time, this time to Sir Gawain Carew. In 1543, she was listed as one of the ladies of Queen Kateryn Parr's household. She died childless in September 1558, at the age of 59.
Mary's sister was Margaret Wotton, Marchioness
of Dorset, who was the second wife of Thomas Grey, Marquess of Dorset, and
the mother of his children, including Henry Grey, Duke of Suffolk (the father of Lady Jane Grey, the 9 Days Queen of England). Two
of her brothers held important positions in the government: Edward
Wotton (knighted and later appointed sheriff of Kent) was Treasurer of
Calais and Nicholas Wotton was a diplomat who served Queen Mary Tudor as Ambassador to France and later arranged the marriage of
Henry VIII to his fourth wife, Anne of Cleves, in 1539.
According to her burial plaque at St. Mary Churchyard in Devon, England, her surname was indeed Wotton.
My interpretation of the inscription above is:
Here beth buried the Lady Mary Guildford daughter … Robert
Wotton of Kent knight… wife to … Guildford knight of the garter controller of
household to the most nobull (noble) &… of England France & Ireland
defender of the faith… the wyffe of Sir Gawyn Carew knight, who ended thys lyffe the XIIII
day of September on MCCCCCLVIII.
An interesting thing, though, is the monument erected in 1589 for Sir Gawen Carew and his wife, Mary, at Exeter Cathedral in Devon, England. Sir Gawen made his will on 11 October 1582, where he asked to buried in Exeter Cathedral, where the monument was later erected, and appointed Francis Russell, 2nd Earl of Bedford, as the overseer. He later died on 25 March 1584, according to Exeter Cathedral. The interesting thing is that Mary died in 1558 and is buried at St. Mary Churchyard in Devon, England. After Mary's death, he later remarried by 1560, this time to Elizabeth Norwich, a lady in Queen Elizabeth's household. In 1587, Lady Carew was listed as one of the ladies of the bedchamber.
So, I find it interesting that this monument in Exeter Cathedral is devoted to Sir Gawen and his first wife, whom is not buried with him (they're not even buried in the same church). This means he was married to his first wife for about 18 years and then approximately 24 years to his second wife. However, his second wife is not mentioned at all on the monument.