I would just let them be. They will recover on their own unless submerged and you're not saying that

I doubt it is the rain or the temps. A month ago, I transplanted a lot of New Gold Lantana that I took cuttings of last year. They're doing great, and blooming like crazy. The fact that your problems started soon after transplanting make me suspect either your soil or transplant shock of some sort. Assuming the latter, I agree that you should probably just let them be. You may lose a few stems, but Lantana has an aggressive root system, and ideally you'll see some new shoots coming up.

Whew! Thanks a lot for the responses. We have never had so much rain before and I have never experienced this problem before with lantana. I'll let them do their thing and hope for the best. They perform as annuals here in OKC so at least I don't have to worry about the potential for invasiveness.

Susan