Depending on the calling convention, you can get some of the registers which are saved on the stack. For example, in the cdecl calling convention, all of the registers except for EAX, ECX, and EDX are required to be saved, either by the caller or the callee. Those three registers are clobberable, so you generally won't be able to get their values from higher up in the call stack. If a function doesn't use a register that must be saved, then it won't save it, but since it doesn't use it, that register has the same value in the next higher stack frame.
