I checked the Palm Beach Post at Newspapers.com Publisher Extra and saw three birth announcements in 1943. The announcements include the home address.
30 June, p. 6: June 29 - Tech Sgt. & Mrs. Glen D. Woods (Dorothy Mary McCarthy) a daughter, Patricia Diane
2 July , p. 6: June 25 - Tech Sgt. & Mrs. Arthur F. Weinrich (Maureen Stowell) a son, Arthur J. Jr.
31 July, p. 6: 27 July - S/S & Mrs. C. F. Carrieri (Lois Wells) a daughter, Anna Elizabeth
I used search terms "AAF Regional Hospital." The technical name was AAF Regional Station Hospital at the Breakers.
If these aren't names you were looking for, you could see if you can get a trial subscription to Newspapers.com and make sure it includes the upgrade of Publisher Extra, which includes the Palm Beach Post.
If you are local, you can look at the Post microfilm at the Palm Beach County Library System main branch on Summit Blvd.
If any of the above announcements apply, you can request copies from the Genealogical Society of Palm Beach County https://gensocofpbc.org/cpage.php?pt=48