Naturalization of parent and registration of child as British citizen at same time?

[CosmosS]

After a year of having ILR, I know I will become eligible to apply for consideration of naturalization via form AN (I have less than 10 months left).
My child was born in the UK last year, prior to me getting settled status. He is eligible for registration using MN1 now that I have my ILR.

My question is, would I be saving another application fee if both of us do the british citizenship applications at the same time? Or that would not work out because we will be using different forms (One process is applying for naturalisation for me and the other is registration for my child).

Many thanks. As otherwise, I`ll apply for the child now if it makes no difference in fees really.

[alterhase58]

It's possible to apply together online but the fee is per applicant so no savings to be had.