Recently sharing of secret information (image) before dissemination is gaining popularity as a means of reducing the vulnerability against the wide attacking surface on cloud computing. An integrated scheme comprising of secret image sharing (SIS) and data hiding is suggested here that offers progressive quality access control of the decoded images. This scheme is a (t,k,n)-hierarchical SIS technique that uses affine Boolean classification and compressed sensing (CS) in the share generation process. Prediction error representation of the secret image in spatial domain is explored to make the signal more sparse leading to CS reconstruction from less number of measurements. In the decoding process, an improved quality of the secret image is achieved with the involvement of ‘t’ essential stego shares (ESSs) and ‘k-t’ non-essential stego shares (NSSs) over ‘t’ ESSs and ‘n-k’ general shares (GSs). A large set of results illustrate the merits of the proposed method in terms of hierarchical access structure, flexible shadow size, progressive quality access on the decoded image and robustness against varieties of data manipulation.