Ratio-wise, your shoulder press should ideally be much higher. However, don't feel bad, this is really common because most people prioritize the flat bench over all other presses. I have a friend who flat benches 515 Raw and he only uses 250 or so for military presses. Most people think 515 BP, thats awesome, I think serious strength inbalance.
Also, and please don't take this the wrong way, as I am just asking, if you can flat press 265, even without training it, you should still be able to overhead more than 110.....so, I have to ask about your flat bench form. Do you bounce/rebound the bar or raise your ass excessively off the bench? DO you complete a full range of motion?
If form is notan issue, I would just prioritize the overhead work for a while, or at least make inclines instead of flats a focus for a while to help with shoulder strength.