We just arrived home from the hospital...my 7 week old suffered the same, also made a gaspy, sqeaky sound when eating..
they did a scope on her, she has laryngomalacia(floppy larnyx syndrome)..he epiloglottis never developed fully so she has a floppy airway and difficulty eating..sleeping as well...
you may want to look it up on the internet...sound like might be the case....