Generally, you would use the same terms used for other animals:
* Giving birth: This is the most common and general term.
* Parturition: This is a more technical term for the process of giving birth.
* Lambing: This is sometimes used for llamas as they are related to sheep and alpacas, which are called lambs.
It's important to remember that llamas are not sheep, so using the term "lambing" might be a bit misleading.
Ultimately, the most accurate and understandable term for when a llama gives birth is simply "giving birth."