Okay, my story of hell then.
We suddenly noticed our daughter's eye starting to drift inward, and a month later during a health visitor 18mth (?) check, she noticed it right off and referred us to an orthoptist. We went in for the appointment and she was found to be very farsighted, and so much so in the wandering eye that it had "given up" so to speak, and was just turning inward. She was prescribed glasses, and... the patch. We've had a year and half of hell with this patching. She hates it. She's supposed to wear it 2-3 hours a day over the good eye to strengthen the bad eye. The theory is that it will improve the vision of the bad eye by forcing it to work. And I have to say that it has done some good, though the turning has not gotten much better, and they've said that only surgery will fix that, it's cosmetic. As far as the patching, we've had to force it, to the point of having to hold her down to get it on, and early on, following her about to make sure she kept it on. It was a nightmare. Every day. There are periods where I can't bring myself to do it, and while she's better about keeping it on, it's still a fight to get it on in the first place, and she's so obviously depressed when she has it on, she flips if she hears the word "patch". Anyway, the object of the patching was to keep with it until the vision in that eye has improved all that it can. When it stops improving, the patch is no longer required, which should be sometime in the next 6-9 months for us. Can't be too soon for me. The number of pairs of glasses we've been through and times we've had them fixed, I lost count. I was going to Boots Opticians every few weeks, and they're about dead again now. It's been a long trying time.
My brother-in-law's girlfriend had the condition as a child, she had surgery and her eyes are fine. My step-brother had the condition and has had two surgeries to correct, and his are fine too. I wouldn't panic until you speak to the specialists.
Never heard of drops that did anything, no mention from anyone.
(((hugs))) Good luck, keep us posted, privately if you prefer.