24mth underweight picky eater

My DD turned two few days ago.  At her year check up she weighed in at
22lbs.  She is a very picky eater.  Mealtimes seem to be very
unpleasant for all of us.  She is happy until mealtimes and so am I
personally.  She is a good kid but her eating habits are driving me
nuts and I don=92t know what to do anymore.  On a really good day this
is her meal schedule:

Breakfast: 200ml of milk with 6 tbsp of infant cereal (refuses toast,
pancake, waffles etc)
Lunch: Some chicken leg with Becel butter, 120 =96 150 ml of milk
Aft. Snack:  1 Jar of Pureed fruit, 100 ml milk
Dinner:  Chicken Strips (2 =96 3 pieces, of the just the meat), 150 ml
milk, may be some orange.

She has milk and soy intolerance so is on =BD rice milk and =BD
breastmilk.  She refuses to try different foods and will only eat
certain foods.  Now that she is 2, she is refusing the infant cereal
but won=92t eat anything else either.  I don=92t give her juice, and limit
water closer to meal times.  I am very worried about her weight.  She
was born 1mth premature at 5lb and 14oz.  She was 20.5lbs at her 12
mth check up so over the year she only gained 1.5 lbs.  She has always
been a very picky eater, even at 6 mths old. She didn=92t start eating
infant cereal until 15mths.  Can someone please help me!  I would like
for my daughter to eat a better variety of food and also gain some
weight.  We did a blood work recently it things came back ok, she was
tested by bloodwork for celiac and it was negative.  I have been very
stressed lately and I don=92t know how to help my DD.  Other than being
thin, she seems happy and healthy.  She is able to walk well, run, go
up and down the stairs well.

Please help..I am too worried and stressed.