at my daycare kids are on table food completely by 13 mos old. You don't have to skin grapes, just cut them into 1/4s or if they are big grapes then into 1/8ths. Her total milk/formula intake should be no more then 16 to 20 ounces a day, any more and she won't be interested in food. I think that you should follow my picky eater plan with her - (btw, my daughters didn't hit 20 lbs till 20 mos old, they were both born normal weight, just didn't gain well to do high metabolisms, so I had to investigate feeding when they were toddlers and I have taken many hours of classes in this subject.)
There is a great book by William G Wilkoff, MD called Coping with a Picky Eater that every parent or provider of kids should read and have a copy of. http://www.amazon.com/Coping-Picky-Eater-Perplexed-Parent...
This book has what I call the Picky Eater Plan. I have used this plan with kids that literally threw up at the sight of food and within 2 weeks they were eating normal amounts of everything and trying every food.
First you need to get everyone who deals with the child on board. If you are a provider it's ok to make this the rule at your house and not have the parents follow through but you wont' see as good results as what I described up above.
The plan is to limit the quantities of food you give the kid. When I first start with a child I give them literally ONE bite worth of each food I am serving. The book suggests that every time you feed the kids (breakfast, morning snack, lunch, afternoon snack, dinner) you give all 4 food groups. So, for lunch today I would have given the child one tiny piece of strawberry, one spoonful of applesauce, 3 macaroni noodles with cheese on them, and 2 oz of milk. Only after they ate ALL of what was on their plate would you give them anything else. They can have the same amounts for seconds. If they only want more mac and cheese, they only get 3 noodles then they would have to have more of all the other foods in order to get more than that. If they don't eat, fine. If they don't finish, fine. Don't make a big deal out of it, just make them stay at the table until everyone else is done eating. They don't get more food until they are sat at the next meal and they only get what you serve. When I first do this with a child I don't serve sweets at all. So no animal crackers for snack but rather a carrot for snack. Or one of each of those. I don't make it easy for them to gorge on bad foods in other words. Now if they had a meal where they ate great then I might make the snack be a yummy one cause I know they filled up on good foods.
Even at snacks you have to limit quantities of the good stuff or else they will hold out for snack and just eat those snacky foods. I never give a picky eater the reward of a yummy snack unless they had that great lunch prior to it.
It really is that easy.