FE Wiki starts its explanation thus;
A Lunar Eclipse occurs about twice a year when a satellite of the sun passes between the sun and moon.
Yes that 'satellite' of the Sun is the Earth.
It has been well known for a long time how and why a lunar eclipse happens. So I don't understand what the necessity is to introduce a 'shadow object' which apparently is never seen. The account given by Mr Rowbotham;
But that an eclipse of the moon arises from a shadow of the earth, is a statement in every respect, because unproved, unsatisfactory. The earth has been proved to be without orbital or axial motion; and, therefore, it could never come between the sun and the moon. The earth is also proved to be a plane, always underneath the sun and moon
is all a figment of his imagination. Take these two statements for example:
"The Earth has been proved to be without orbital or axial motion".
"The Earth has been proved to be a plane, always underneath the Sun and the Moon"
In both cases how can you claim that something which is not true has been 'proved'? Especially with the equipment and tools available during the mid 1850s.
A solar eclipse is caused by the shadow of the Moon falling on the surface of the Earth. How can that happen if the Moon and Sun are always above the Earth? The cone shaped shadow of the Moon always lies in line with, and points in the opposite direction of the Sun. In other words the Sun, Moon and Earth need to be in a direct line. That can happen quite easily if the Moon orbits the Earth at an inclination of 5 degrees to the Earths orbit around the Sun. The tiny area over which a total eclipse of the Sun can be seen from at any one time can also be explained by the fact that the Moon is considerably smaller than the Earth. Even the ancient Greeks knew that.
The only way you could get a solar eclipse if the Earth is flat would be if the Moon is lower down and therefore closer to the Sun? That can't be right though because FE Wiki maintains that both the Sun and the Moon are both the same size (i.e. 32 miles across) and both 3000 miles above the Earth. The trouble with that idea is that the crater Copernicus has been measured to have a diameter of around 50 miles. So you can't really have a single crater that has a larger diameter than the whole of the Moon can you!?!
So if you want to continue to assert that the Earth is flat and that the Sun and Moon are both the same size and same distance from Earth, then to make eclipses work you need to invent some as yet unknown system which is capable of bending light far more significantly than anything which is known to science.