My Terrien/Gauthier connection (actually my husband's) is this:

Joseph Elie Gauthier (1640-1700) m. Marguerite Moitie (1645-1701). They had a daughter: Marie Gauthier (1671-1755). Marie married Denis Charland (1656-1703). They had a daughter: Catherine Charland (1693-1749). Catherine married Andre Therrien (1678-1749). They had a son: Denis Therrien. He had a son: Jean Francois Therrien. He had a son: Gedeon Edouard Terrien (note spelling change). He had a son: Cyrille Terrien. Cyrille had the family name changed to Taylor sometime after 1870. Cyrille had a son: Gedeon Noel Terrien (was born before name change). Gedeon had a son: Cyrille Sherman Taylor. Cyrille had a daughter: Betty Jean Taylor. Betty's son is my husband: David Vickery.

Hoping this info makes a connection for you.