Hi M.! I'm not so sure if it's molluscum contagiosum or not because the colour wasn't explained! You said "white and milky" but from what I've seen, from pictures, they seen too look more "skin coloured"...more like a skin tag than some type of lesion that contains sebum and therefore would be more white!
I just answered, in the "recently asked questions" a question where the title is "odd facial bumps"...maybe you could read through that and find answers...it may help if it sounds like the same type of lesion (which is more white than skin colour)!
Now, if it is molluscum contagiosum, you can use tea trea oil. It acts as an anti-fungal but that's why it also works for dandruff! But molluscum contagiosum is a virus, not a fungus so it should be treated more like you would a cold sore!
However, to treat a virus, you need more oxygen...I happen to know (or I'm almost sure) that the best way to treat something of this sort that's a viral lesion should be flooded with oxygen! This is where Benzol Peroxide comes in...water is H2O (one oxygen molecule) but Benzol Peroxide has double the oxygen (H2O2) and much more effective! I think that taking a 3% Benzol Peroxide solution (standard) and either applying potently for a few seconds with a Q-tip or more lightly with a cotton pad that it will be most effective (if you're nervous about it, you can start with diluting it 1 part Benzol peroxide and one part water)...this is under the assumption that is, in fact, molluscum contagiosum!
Again, if you want to check out the "odd facial bumps" on the right, it may be something like that...in this case it's called milia.
For some reason, I feel it's unlikely to be molluscum contagiosum based on the milky description you gave...I think it were MC, it would give more of a watery, somewhat colourless discharge if it were to errupt, not really milky!
I also think it might not be MC because it normally affects stomachs, arms and legs! Not to mention that even if the lesions don't errupt or leak, they are still highly conatgious and are normally found in bunches! In your granddaughter case, there's only one...and it's on her cheek!
It sounds like either milia or a regular pimple! In which case, washing with mild soap and water would be good but, even if it is just a pimple, you can use benzol peroxide! Again, the oxygen effect!
Bacteria is anaerobic, which means that it thrives in envriornments that doesn't have oxygen! Benzol Peroxide delivers oxygen which kills the bacteria!
In the end Benzol Peroxide is cheap, effective and safe! As a matter of fact, many peope use it to whiten their teeth when they brush (they may not swallow it but a 3% solution is still safe to put in your mouth!)
I'm pretty sure it will be safe if you want to try it on your granddaughter's cheek!
I really hope this is an alternative for you!
Much love!
xx