M.T.
I would simply write "No Siblings Please" on the invitations. Don't give people the option to bring their other kids. If a mom is in a jam and asks to bring a sibling and pay for him/her, you can make that arrangement with that mom, but don't open the door to people bringing a bunch of extra kids and you getting stuck with the expense. I'm old fashioned I guess, but I still believe a birthday party is for the friends of the birthday kid, not the friends' siblings. I never brought my other kid to a party that my son or daughter was invited to, unless I was expressly told by the party kid's parents to do so.