It's more usual to put yourself last in a list of people that includes you.
Nevertheless, as far as I know, there is nothing grammatically incorrect if you wish to push your way to the front of the line and place yourself first!
Please don't double post. I am deleting your earlier, anonymous other post with this same question, since I think it has been answered here. However, I don't understand what you mean by changing "my wife" to "what's her name." Could you explain your meaning?