There is a perceived family tradition that the Gibbins ancestors moved from Hallaton at some time in the 19th century and while I have located people by this surname in Hallaton in the 1820's I cannot find any link to the Thurmaston Gibbins family.
The 1861 census shows that George was born Hallaton:
1861RG9/2282 115 5
Thurmaston South, LeicestershireGeorge Gibbins, head, 36, Miller, b.
Hallaton Sarah, wife, 32, b. Thurmaston
Eliza A, dau, 7, scholar, b. do.
Thomas, son, 5, scholar, b. do.
William B, son, 4, scholar, b. do.
Johnson, son, 1, b. do.
Samuel Bishop, relative, wid, 75, Retired Miller, b. do.
+ 2 servants