Stuffing face with literally everything

My baby is almost 6 months and burp cloths are just her jam. Literally wanting to put EVERYTHING in her mouth and chomping down so hard like she’s in distress or something. Sometimes her face gets red from staining so much. She will get mad if she can’t put something in her mouth like a pillow or hey, someone’s face. How long does this phase last??? I can barley get her attention! How do I know if she is having tummy troubles or milk (formula) sensitivity? She just seems so irritable. Does not seem to be teething either.