Interesting story about your great-great-grandmother! Here is some information I dug up.
From
http://www.houseofnames.com/coatofarms_details.asp?sId=&s=Augood and
http://www.historicalnames.com/namelistdetail_a.asp?surname=Augood:
"Augood is an ancient Anglo-Saxon surname that came from the ancient personal name
Algod. In Old Danish, the name was
Algot, while in Old Swedish, the name was
Algut. Although the variant form Allgood appears to be a complimentary nickname, the surname Augood is actually patronymic in origin.
"Spelling variations include: Allgood, Algod, Algood, Elgood, Ellgod and others.
"First found in the counties of Northumberland and Durham, although not of Boernician origin as were most of the families in that area.
"Some of the first settlers of this name or some of its variants were: John Allgood settled in the Barbados islands in 1674; being one of the first settlers in North America. It is believed he later moved to the mainland.
"
Motto: Age omne bonum.
"Motto Translated:
Do all good."
From
http://www.ancestry.com/learn/facts/Fact.aspx?fid=10&ln=Allgood:
AugoodEnglish: variant of Allgood.
AllgoodEnglish: from the Middle English personal name
Algod,
Alegod,
Halgod, of Scandinavian origin. Compare Old Danish
Algot, from an unattested
Alf-gautr ‘elf Goth’ or
A{dh}al-gautr ‘noble Goth’.