I've got the same things are under the leaves of 2 of our Purple Jalapeno. Was not thinging their where Lady bug eggs but really hope they where. Will keep an Eye on them as have seen the odd lady bug but never there larve witch from what I though eat the most bugs to get to pupate in to lady bug beetles. This site should add 2 Bug spots. one with bad bugs next with good bugs, with plants that can be added to get numbers of bad down and numbers of good up... As they work better then Poison and keep working,,, yes its not a great 100% job but must be some tricks to getting a better killing force..
Side note, I've got Butter flys in my garden, put plants, fruit and flowers almost for each kind that I can at this time still looking for more to add more kinds. But Have Damsil flys, Dragon fly, Skippers and Moths now, next doors plants are helping with adding the moths and one very cool butter fly thats really looking at my Passion fruit and may have laid eggs on it 2 days ago. The Dragon and Damsil fly are in my garden eating some thing, as are always there where as butter flys come drink, lay eggs and leave.
So as what I can remember it takes a few things to make a circle to keep the cycle going lady bugs eggs larve lady bugs,,, or any bugs needed to work for your garden,,, very cool to watch. Other herb and plants help abit as well. Have Garlic growing in one pot with chilies and is helping alot but chilies plants so small over ran with garlic, so may change. Plus garlic does not work with all bad bugs but helped with ahids so far. Jassmen has helped with ahids as well but only keeped numbers very low. Have a few that are left alone by all so far, Like Surnam cherry tree, Cactus like Suegro, Dragon fruit. Tomatoes we have are bugged by some white fuzzy bug but not ahids. Mulberry buged by 3 types of bugs so we just spray it... Passion fruit left along by all but the Jeazbel butter fly, and seem to help abit for getting other bugs put off of bugging their nabor plants but are not very close as will grab the close plants and mess em up...
Trying to learn more and teach more so poison not needed.
Like can you put a winter box and they winter on your land to get them out and about full forse rite from the get go as Ahids are there first..... Ideas like put 2 plant in 2 netted box, inter duce ahids to both put lady bug in one get it to lay eggs take larve out put in garden. Then put lady bug next box same same cycle adding the larve to plants in garden.... The trouble I've heard is letting the store bough lady bug is most leave and don't really work year round. All though hear great things about red mites that eat mites as they stay where you put them and as long as you add more mites for food will keep going, but must be feed as eat all the other mites then starve to death with out more mites to eat... Have heard about pill bugs helping keeping some ground bugs under control. I'm sure theres lot of people who know more about this then I.