Hannah's sleeping and eating

Hannah is now 10 months old and she is still not sleeping through the night.  The weird thing is she has just been on and off her whole life (sleeping through the night).  It is not like she is waking because she is going through a growth spurt.  With Caden it was very easy to know that he had enough food during the day so I knew he did not need a bottle at night.   I would let him cry and by day 3 he slept through the night.  To this day Caden is a great sleeper.  Never wakes in the night.  With Hannah if she wakes I let her cry for a bit just to see if she will go back to sleep and if not then I will give her a bottle because she is soooooo little, she needs to eat.  She is 10 months old and only weighs 14lbs.  Little bitty thing.  So that means she is only twice her birth weight, so any chance I get to give her food I do.  But it is soooo wearing me out.  

We have tried give her a meal replacement shake for her to gain weight but she got some kind of stomach bug so we stopped.  I may start back again but she has got to get some rest.  She is also eating all table food, she will not eat any baby food.  Her top teeth are broken through so I feel a little more comfortable giving her more of a variety of table food, but just worried about what not to give so she doesn't get a stomach ache.  Any ideas for anyone?