Which Fathers, Saints and Doctors of the Church taught earth is a globe?  And then related that to inerrant Scripture?  

Which Fathers, Saints and Doctors of the Church taught earth is a globe?  And then related that to inerrant Scripture?  

I haven't seen any.  Can you provide them for me?

The few Fathers who taught about flat earth from Scripture did so before St. Augustine taught that Scripture did not speak on this issue.  His teaching was soon adopted by the Church so there are no known Catholics (other than the poorly educated Cosmas) who looked in Scripture for information on the shape of the earth.  Anyone who accepted Catholic interpretation of Scripture would have looked for the answer from science.  Of course, Catholics of the past would not have thought science was inerrant; that is a modern error.  The millions of Catholics who have read Scripture in accordance Catholic teaching since St. Augustine have believed Scripture to be inerrant while also accepting the earth is a globe.  

Other than those few Fathers and Cosmas, the people who first claimed that Scripture taught flat earth were sola scriptura heretics.  They did not have Church teaching to guide them in interpreting Scripture, so they made errors.  Unfortunately, the current crisis in the Church has allowed some Catholics to follow them into error without correction from our leaders.  The flat earth trad site, for example, openly acknowledges that it uses the heretical and blasphemous Eric Dubay as its source.

It is absurd to claim that belief in a globe earth ledsto the detriment of mankind and the Church.  It is this sort of ridiculous, baseless assertion that has led so many people to speak disparagingly of your intelligence.

I did not say that a few Fathers of the Church and Cosmas were heretics.  I said that other than a few Fathers of the Church and Cosmas, historical  proponents of flat earth (like this group that was formed in the 19th century) were heretics.    This is the opposite of claiming that the few Fathers who believed in flat earth were heretics.  

Whatever the Fathers all agree is part of the Faith embodies what is Catholic. Individual opinions of Fathers may be incorrect.  For example, in the first centuries there was some disagreement among the Fathers about whether certain writings should be considered part of the canon of Scripture. Some of the Fathers left out books that should have been included.  Some included books that should have been left out.  Eventually there was a consensus and all later Fathers were correct.

I misunderstood your question as being one that I had already answered, so I did not want to do so again.  I apologize.   A Father (as well as Doctor of the Church) who taught the earth is a sphere and related it to Scripture is St. Bede.  In De Temporum Rationem he wrote explaining length of daylight from  "the roundness of the Earth, for not without reason is it called 'the orb of the world' on the pages of Holy Scripture and of ordinary literature. It is, in fact, set like a sphere in the middle of the whole universe.".   This was written around 700 A.D.

There is no reason to think that all the other saints taught something different from St. Bede. (I can not find an English translation of his case for spherical earth online, but I can point you to the Latin.  There is no question that he is unambiguously teaching a spherical earth.) Nobody can produce more than a few quotes from Saints who said the earth was flat.

St. John Damascene is considered the last Father of the Church.  He wrote of summary of Christian doctrine as presented by the Fathers who came before him.  He wrote: "Further, some hold that the earth is in the form of a sphere, others that it is in that of a cone. At all events it is much smaller than the heaven, and suspended almost like a point in its midst. And it will pass away and be changed." This has got to be the most authoritative statement possible on what the Fathers thought.  And this source says that some of the Fathers believed the earth is in the form of a sphere.  Therefore we can safely say that all of the Fathers did not teach that the earth is flat.

Many cosmological models have been taught by pagans.  A stationary flat earth model was taught by pagans, as was a moving globe and as was a stationary globe.  We can't just rule out a model simply because pagans have taught it.  There wouldn't be any left.

Far more important than what pagans taught is looking at what has been believed by Catholics throughout history.  In the first centuries, as St. John Damascene said, Catholics disagreed.  Early in the 5th century St. Augustine taught that Scripture did not teach the shape of the earth and this seems to have been accepted by everyone except Cosmas (who may not have known).  Starting from St. Bede around 700, we see Catholics treating the question as a matter of science and teaching a stationary globe in a geocentric system.  This belief lasted for about a thousand years and is what was taught at Catholic universities.  If any model is to be identified as the traditional Catholic one, it should be this one.  

Thanks for accepting my apology.  I accept yours.