Hi, Have just discovered that my Great Grandmother was a Lywood from Upton, Hants. She was born in 1826 and died 1904. She married William Rawlings (who was born in Enford, Wilts).
Her father was George Lywood, born 1786 - I don't know the location. He married Martha Peck, of whom I know nothing.
From what you say it sounds as though all the Hants/Wilts Lywoods are related.
Any updates?
Kind regards
Anna Blackwell