The Moore family tradition that cousins descended from the Pursey line (the children of Ophelia Pursey and Harriet Pursey) married in America, is pretty close.
John Webber and Georgiana Potts were not cousins by blood, but were related by marriage (Georgiana's aunt Harriet married Samuel Webber, whose brother was John Webber and it was John who married Georgiana) - close enough for loose terminology to call them "cousins".
Georgiana received a significant inheritance from her grandmother Harriet Fraunceis Pursey.
Emigrated to Long Island, America, to join her family members there in 1855.
Married John Webber on August 19, 1857, at St. Peters Episcopal Church, Albany, New York.
For more information see David Dew's website http://dew1234.tribalpages.com/
It seems that John Webber knew Georgiana in Devon, England - she was was recorded as a visitor at John's home in the 1851 census - see the census information in the entry for William Webber born 1786.
After Georgiana emigrated to Long Island, America in 1855, John emigrated there too in 1857 - presumably with the intent to marry her, which he did in August that year.
From information supplied by Beverly Roberston - New York Census 1900:
Georgianna J Webber
Gender: Female
Birth: Jan 1834, England
Residence: 1900, Brookhaven Township, Election District 7, Suffolk, New York, USA
Age: 66
Marital status: Widower
Immigration: 1855
Race: White
Ethnicity: American
Number of children: 9
Number of living children: 8
Child: Samuel R Webber
Census
Township: Election District 7, Enum. District: 744, Family: 7
County: Suffolk, Series: T623, Line: 27
State: New York, Roll: 1241165, Image: 273
Date: 1900, Sheet: 1