Hiya..congrats on the new Baby
I had a baby a little while ago myself & i rung up the Medical card office & they just added her & sent us out a new card in the post.They do not assess you again for a new baby.
The baby will be covered for the 1st 6 weeks under the maternity & infant scheme & hopefully by then your new card will be issued.Mine took a week or 2 only
Hope this Helps