1. A speech transcription system for producing a representative transcription text from one or more audio signals representing one or more speakers participating in a speech session, the system comprising: a preliminary transcription module for developing a preliminary transcription of the speech session using automatic speech recognition having a preliminary recognition accuracy performance; a speech selection module for user selection of one or more portions of the preliminary transcription to receive higher accuracy transcription processing; and a final transcription module responsive to the user selection for developing a final transcription output for the speech session having a final recognition accuracy performance for the selected one or more portions which is higher than the preliminary recognition accuracy performance.