hand up (to someone)
To hand something to someone who is physically above oneself. A noun or pronoun can be used between "hand" and "up." I stopped halfway up the steps and asked Max to hand up the stack of files I'd forgotten. Once I get on the ladder, you'll have to hand the tools up, OK?
hand something up (to someone)
to pass something to someone who is on a higher level. Please hand this cup of coffee up to Carl. Please hand up this coffee to Carl.