Fussy 2 and 1/2 year old eater!

[Lucyplus2]

Hi, I'm new to the site and wondered if any parents had any advice for me. I've a 2 and 1/2 year old daughter who is a very fussy eater.
She won't eat any meat, cheese or eggs. She only really has fish fingers, masged potato brocolli, beans/spaghetti, pasta and fruit. She eats yogurts too and enjoys smoothies/fruit juices. The only sarnies she'll hae is jam and I've just managed to trick her into having cheese triangle spread sarnies by saying its simply 'spread' rather than cheese!!
She's very bright and defiant - knows what she wants and seems very in control at meal times.
I've a baby of 9 months too who will eat anything put in front of her, but that seems to make matters worse with my eldest daughter!
Any help/advice or reasurance would be gratefully received! I'm pulling my hair out with worry - she's a good size about 2 stone 2 but no idea if thats about right for her age.
Thanks!