Have you gathered "ALL" the census for Sarah?I think if you do you will find some other facts.
From what I see:
Sarah married 3 times (Fulcher, Travis and Lindsey)all taking place in Marshall Co., KY
Her dying in 1919 and being listed as Sarah Travis does not mean that her marriage to Lindsey did not happen. It simply means that the person reporting her death gave her name as TRAVIS. I've seen those kinds of mistakes hundreds of times. On the 1900 census in Trigg Co., KY Sarah is living withher daughter Drucilla and her husband William A. Barber and Sarah is listed as his mother in law, A. Sarah NELSON.
She had at least 3 children: Cynthia Alice Fulcher (married) Henry B. Henderson 17 Feb 1884 Marshall Co., KY Drucilla M or N Fulcher (m) William A. Barber 23 Nov 1882 Marshall Co., KY Hugh Leander Travis (m #1) Una Monico Ward 27 Feb 1899 Trigg Co., KY (m #2) Della Freeman married about 1906/1907, her 2nd marriage also.
The 1880 census is FREE online at familysearch.org
Take a look in Marshall Co., KY and you will find Sarah A. Lindsay with her 3 children Cynthia A., Drusilla N, and Leander (All are listed as LINDSAY). She is listed as married. There must have been some kind of issue between her and Martin Lindsey because he was living in his own household in Marshall Co., KY with his 4 children and a niece. He is also listed as married.
I also did not come across a brother (E.M.)for Sarah, but that does not mean that she didn't have one named that.I only looked at the 1850 census of Sarah with her parents and siblings at that time.Her siblings in 1850 were 4 brothers: Wm D.-19/G.W.-17 (male)/Jas A-13/M.G.-5-(male). Sarah was listed as S.A.E. age 15, mother was A.K.-48 NC and father was Martin age 53 b.VA
The most important thing that I have found in my years of researching and helping others is that you CAN'T build a family history off of word of mouth and 1 or 2 censuses.They help but there will probably be a LOT more that is overlooked without being thorough.