I've managed to find one reference to Isaac Hodges from the LSGC medal roll (Long Service & Good Conduct medal):
405 Private Isaac Hodges, 1st Bn, 2nd Regt of Foot
recommended for his LSGC medal on 1 Jan 1878
In that era he would have had to complete 18 years exemplary service to be considered for the LSGC, which would put his enlistment at c.1859.
The battalion were on active service in China in 1860, but his name doesn't appear on that roll (presumably he didn't make it out there in time)