Shirley
You have a skipper butterfly on your lavender.
Some skippers do have their wings at an angle. They also have distinct clubbed hooked type of antenna. The caterpillars feed on foliage tho they hide in the folds of the leaves or under some webbing. Caterpillers of this family of butterflies also have rather large heads compared to the rest of their bodies.
There are a few threatened species of this group of butterflies that live in prairies of the Midwest.
Enjoy watching them this summer!