I would suggest that you schedule an appointment with your daughter's pediatrician
. HGH stands for human growth hormone. Another name for it is somatotropin. This is the hormone that our body needs uses naturally to increase our height. The medication is used occasionally for people that have significance short stature. However at 5'4", your daughter does not meet that criteria. In fact she is exactly the height she should be considering the height of both you and her father. Therefore, there are no doctors
that I know of that were prescribed this medication which can have significant side effects to increase the height of a person that is at their natural height. In addition, at the age of 14 your daughters growth plates may be starting to fuse. What this means is that your daughter might not get any taller with and without a hormone such as HGH. If they have not fused yet then she might get a little taller but not much. In fact, I would probably suggest that she is not likely to get much more than a half-inch taller based on the heights of her father and yourself. Her predicted height as it stands right now is 5'4.5". Again, I would suggest that you schedule an appointment with your daughter's pediatrician. This is a question that your pediatrician certainly has answered before and will be able to explain in more detail.