Pay attention to what type of corners you are having problems, is it all corners, or only longer corners with sustained G forces ? These are the type that typically cause fuel pickup issues. Did it do it at all with a completely full tank ? I'd hate to see you waste time and money on the carb./fuel pump if they're not the problem.
'65 A-code coupe, T-10 4-speed, 8" 3.25 limited slip