Naturalisation and registration queries

[SNG]

I have applied for naturalisation (joint application) 6 weeks ago, but my wife who is pregnant wants to go India for delivery. she has to travel not later than next 6 weeks time.
* If we do not get any approval before that time from HO
(A) she would have to loose the chance (after receiving approval oath should be taken in 3 months) - would this be a problem when re-applying for naturalisation in future?
(B) She will use her Indian passport to go India with existing ILR stamp, In this case can we apply BC/passport for the child?(Nov 2012) if Father British citizen & mother still Inidian (i'll finish my BC process from here-UK)
* If we get approval around that time
(C) I'll book a private ceremony and apply her British PP from India (i think its possible-as per other posts/replies on the forum) ?!?
(D) would there be any problem if travelled to India with ILR after citizenship ceremony? and back to Uk on same(ILR)... is there any grace period/fine if Indian passport is used?
(E) if go out to India on ILR, apply british passport, what is the next option-
visa to UK or PIO/OCI by surrendering Indian passport.
What visa does the child need, if holding a british passport?
Please reply to above points.

[geriatrix]

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