translate English to French: Based on the evidence of  Ms. Allary and the corroboration of certain particulars by Ms.  Matheson, I find that these incidents did take place, as described  by Ms. Allary.
D’après le témoignage de Ms Allary et la corroboration de certains détails par Ms Matheson, j’en conviens que ces incidents ont réellement eu lieu, tels que les a décrits Ms Allary.