Sometimes dates are wrongly written/copied. I know a man who has tw1354o different months for his birthdate too because his mother had always told him they marked/wrote the wrong month. He has used both.
I know of others that have different dates because they would have then had to issue a birth certificate and the date of issue instead of birth would be recorded.
If HH celebrated the December date then the rest of us should accept that one. He didn't try changing the year or covering anything up with either month listed.

I have to go along with the 12/24/05 date.
Capricorn/Moon in Sagittarius
is just weird, clever and creepy in a Hughesian way.

Here's your answer:
Hughes' birthplace is recorded as either Humble or Houston, Texas. The date is also uncertain, though Hughes claimed his birthday was Christmas Eve. A 1941 affidavit birth certificate of Hughes signed by his aunt Annette Gano Lummis and Estelle Boughton Sharp states he was born on
December 24, 1905
, in Harris County, Texas.[N 1]
However, his baptismal record of
October 7, 1906
, in the parish register of St. John's Episcopal Church, in Keokuk, Iowa, has his birth listed as
September 24, 1905
, without reference to the place of birth.[N 2]
Personally, I think his birthday is today.
"Evil spelled backwards is live"
: Mok