I would have to give an emphatic "Yes" based on caparison to a known post-war portrait kindly supplied by Alsop family genealogist Jerry D. Alsup. Jerry is currently working on volume three of his monumental family study, Alsop's Tables. The first volume was published in 1986 with the second volume following in 1994.
This identified image shows Susan M. Read Alsop sometime in the 1880s based on her clothing. She would have been in her 40s during that decade. The earlier image of which we have been uncertain shows a young woman dressed in the fashion of the 1850s. Susan M. Read Alsop was born on September 25, 1840.
I took both images and produced a superimposition to compare facial features. I was delighted to see an easy comparison of the craniofacial landmarks. At 50% transparency it is clear that there are no readily apparent deviations in the placement of the eyes, nose and mouth, suggesting very strongly that they are of the same woman with perhaps a separation of three decades. Both images even show a possible asymmetry of the nostrils, her left appearing larger than the right.
The only remaining questions regarding the older image would be as to how long prior to her marriage to James Addison Alsop was it taken, and who may the image be in her broach? One thing is probably most certain is that this was not an image of her in mourning following James' death in December 1860.
There is also the question as to how she was related to the Alrich family? Her son, John Addison Alsop had been married to Florence Chartters, a relation to the Chancellor and Leavell families. Hopefully the connection will become apparent soon.