Data security has become a major concern in the recent years. Error free reversible data hiding has become more tedious. In this paper we proposed a very special data security method which provides a very powerful technique by which secret data can be distributed into two or more images using Lagrange's Interpolation. Specifically, our algorithm splits the alpha channel into 'n' number of sub alpha channels depending upon the user requirement. We divide secret data into segments of 8 bits, each segment of the data is embedded into the pixels of alpha channel. The alpha channel is then split into n sub alpha channels using Lagrange's interpolation. For more security we encrypted the alpha channel with well-known logistic map. Later n Encrypted alpha channels are merged with equal number of Encrypted PNG images and transmitted. On the receiver end Secret data can be retrieved only if the receiver has all the n shares of images and Data hiding keys. Even the original images can be retrieved with high visual quality using the encryption keys. In our algorithm with the help of alpha channel we are able to achieve high embedding capacity when compared to other algorithms. For an image of size MxN we can embed 8mn size of data with use of alpha channel. © 2019 IEEE.