The most common and most likely answer to this crossword clue is the 5 letter word NATAL
I've seen this crossword clue in The Times
N
A
T
A
L
More clues leading to the result NATAL
- In Medina, tales of birth
- Girl that is abandoned at birth
- To find ancient city in this province could be expected
- Former S African province of birth
- Note a story left incomplete, regarding a birth
- In parturition, a tale of birth
- Old province where charlatan, wanting tea, turns up
- A little shaken at almost touching the buttocks
- Revolutionary left with a smack on the buttocks
- Charlatans claiming elevated birth
Buddy explains!

The straight part
We know that "of birth" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case of birth = natal.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does NATAL mean?
NATAL adjective- Of or relating to birth.
- Of or relating to the buttocks.