K.U.
Doctors may be running different tests to rule-out different things and trying to eliminate one thing at a time. You did not mention what this child's parents are feeding or how much. You did not mention what has been tested for or what has been ruled-out as a possible cause. You did not mention how big or small the parents are. They might not be happy with all the tests, but if they want answers, there is a process involved. Doctors don't know right away what is going on and it's not always necessary to run every test imaginable right off the bat. Common things tend to get ruled-out first. My first thoughts would be some kind of issue with food allergies, or Celiac Disease/wheat gluten intolerance, or some condition where the nutrients in the food are not getting absorbed or processed correctly. I would agree that it would be interesting to hospitalize the child for a short period of time, monitor the diet and the eating, and see if there is any improvement. Sorry to sound this way, but parents sometimes intentionally harm their kids or make them ill in order to gain attention and sympathy - it's called Muchasen's (sp?) by Proxy. I sincerely hope this is not what is going on. Hopefully this child is just a tiny kid and it's just the way he/she is made. I was really thin as a kid too and on the small side (5th percentile for weight but average height) but still healthy - just skinny.
Not to be picky, but I find it odd when people say "my sibling" and "my child" instead of being specific - my sister's son, my brother's daughter, etc. I do hope the parents get the help they are looking for though. Good luck!