The Bartley-Whale story is a well-known urban legend
Urban Myths: Swallowed by a Whale
From the Scientific Christian site:
A Whale of a Tale: Fundamentalist Fish Stories
Would it help if I layed out some of the scientific objections to a global flood? Those who accept a global flood must accept:
(1) rapid evolution around 10,000 times faster than Stephen Jay Gould, Richard Lewontin or Richard Dawkins – to get from the thousands of “kinds” of animals onboard Noah’s ark to the 1.5 million or so species that we see today in just a couple thousand years (depending when you date the Flood)
(2) there must have been about 2,100 different kinds of living animals
per acre of land on earth just before the Flood (the calculation is taken from estimates of the Karoo Formation in South Africa which contains the remains of some 800,000,000,000 (billion) animals representing approx 1% of total, divided by number of acres of land on earth)
(3) the “evolutionary” ordering of the fossils found throughout the geological strata (fish before amphibians before reptiles before mammals, etc), a global flood would mix up the order considerably, or sort by “weight” which we definitely do not see
(4) no evidence of a global flood in ice cores (going back 40,000 years) or tree rings (going back 10,000 years) or varves such as the Green River Formation (going back 20,000,000 years with each layer requiring at least a month to settle)
(5) a global flood cannot explain limestone deposits (billions of microscopic sea animals thousands of meters thick), chalk deposits (plankton settle very slowly), salt and sedimentary (30,000 feet thick) deposits requiring much time to form (not possible in one year of a flood)
(6) species distribution and diversity (biogeography), how did the Kangaroos (marsupials) get to Australia (and only Australia) from the Ark near Ararat?
(7) where did all the water come from, and where did it go?
Simple questions like that.

A local flood can be found in the Genesis text by noting that “world” (in Hebrew or Greek) does not necessarily mean “the entire planet” or “the entire surface of the earth.” It need only mean “the world where Noah and his family lived.” Although God inspired the Scriptures, God worked with the limited knowledge of the biblical writers. They didn’t know about the American continents (for example). And God would have no need to flood Antarctica since no people even lived there. More examples are in Hugh Ross, will look those up.
Phil P