Talbot influenced photography by creating the language of the medium and of course the negative/positive process. His book the pencil of nature (not the first photobook) certainly influenced other photographers. Daguerre created the first photograph of a person and together with Niepce the Daguerreotype. So not only were they great inventors but they also influenced the medium.
Originally Posted by batwister
Bayard (one of the earliest Selfportraits and superb photographer) and Anna Atkins (first photobook) are missing as well.