I think it's clear from the psukim that Rachel didn't hug/kiss Lavan because she couldn't get up - if she was sitting on a saddle in the tent, what would it matter - he could hug her there. I think it has to mean she was on the camel, though I always found it odd what excuse she could have given for being on the camel. I mean, she knew her father was on the hill across the way. How could it be believable that she was just on the camel.