my mum and I have red spots. These ones are called De Morgans after a Dr Campbell De Morgan who was born in Clovelly ~ that really steep little town in Devon. Yep thats right I just Googled it.
They look a little like tiny red blebs or blood blisters and we quite like them, we call them rubys, they quite glow in the sunshine! Not that my tummy sees much of that LOL
Any hoo . . . . if thats what you've got they're harmless and occur more often in the over 40's, but they do not look like a spotty pink rash, that I would suggest is some sort of irritation either internal or external. If it's not bothering with itching I'd leave it alone and mention it the next time I saw somebody medical. Could be your body detoxing
But I'm pre op... However, when you said they were all over someone elses tum it sounded familiar...