You're conflating the 1888 Kodak and the 1900 Kodak Brownie.
The 1888 Kodak was the one that utilized stripping film. The alternative was paper base film which was treated with castor oil to make it more translucent, but the stripping film was superior in image quality.
The stripping film consisted of the silver-gelatin emulsion applied over a water-soluble gelatin layer, in turn applied to a paper base strip offering 100 exposure frames. When the exposed film was returned to the Eastman factory for processing, the film was first steamed to dissolve the soluble layer, and the emulsion layer was then transferred to a clear gelatin or glass base for further development and processing.
By 1890, stripping film had been supplanted by transparent nitrocellulose film.
By the time the Brownie was in production, only transparent film was available.
@laser Robert Shanebrook's
Making Kodak Film Second Edition has details on the paper, stripping and transparent film types.