Translations for meekly in French

Here are paragraphs from public domain books translated:

I meekly answered that I had spoken without knowing all the facts. My submission pleased him and led him to further confidences.	Je répondis humblement que j’avais parlé dans l’ignorance de tous ces détails. Mon humilité désarma Frankland, qui continua ses confidences.
The Hound of the Baskervilles, by Arthur Conan Doyle	Le Chien des Baskerville, de Arthur Conan Doyle