Hi! Was his departure from Eng. dubious enough to change/hide where he came from?
For such a common name, found only a few George C. Hamiltons from England - tho did see him in UK Census.
Found 5 George Hamiltons with birthdates within 2-5 years but all in locations far from Goose Creek Texas or with vastly different immigration dates or children born in U.S. earlier than 1912. Doesn't necessarily mean anything as these data records are tricky and many people are very hard to find in the search system.
1 possible hit:
1920 George C. Hamilton 43 yrs old immi. date 1912 but from Holland??? in El Paso , TX working as a Steam Engineer.
Wife Myrtle 31 year old. born in Missouri
Daughter Wilhelmina 1.5 years born in New Mexico.
In 1930 the 3 of them are in Bisbee, Cochise Co. , Arizona and George is a Tinsmith @ the Copper Mine. Still saying from Holland but immigration year is garbled -- maybe 1912,1914,1916?
Child may not be George's as there is descrepancy between no. of years married stated by husband and wife and relationship to child's age.
http://www.tsha.utexas.edu/handbook/online/articles/print/GG/hvg32.htmle Try above link to history of Goose Creek whick is on Galveston Bay, near Baytown, Texas. May have some useful information.
Let me know if any of above is worthy of further investigation. Will be glad to help if I can.
Good luck!
Kathy