They are trying to use you as cheap substitute hcp lites. There is a potential problem when you run out of clinics or children's centres as there needs to be a spare adult so no child is unattended etc but that isn't the peers problem. Of ourselves you should have your children if you have them and want them there, the very best message for new mums.
Cheeky sods, the importance of bf and parenting all course long then leave your children and facilitate our group in support of cc stats, progress towards baby friendly status etc. who runs yours now? If they want you to work they could pay you.