* The name is misspelled. There might be a similar-sounding author you're thinking of.
* The author is less known. Perhaps they have published niche works or under a different pen name.
* You're thinking of someone else. There might be a politician, academic, or another professional with the name "H. Asquith."
To help me find the author you're looking for, please provide more information:
* What kind of books do you think they write? (genre, subject matter)
* Are there any other details about the author you remember? (nationality, time period, any specific titles)
With more information, I might be able to assist you in finding the author you are looking for.