Perhaps it's more usual to say this in two separate sentences. You can say "Mrs X has had a baby. He/she is called Tim/Sarah." Even in newspaper announcements it is usually phrased as: "Mr and Mrs X announce the birth of their son Mark/daughter Alice".Rather than saying, Mrs.X gave birth to baby Y, can I say' Mrs.X bore (...)baby Y. Is there any other way to avoid 'birth' and yet express that meaning?