Evalyn's information does not reveal the name of the second wife of Thomas Neech. However, the Black Sheep Index at http://www.lightage.demon.co.uk, described as "An index of Victims and Villains (and some heroes too) from press reports of court cases and inquests 1850-1900" has the record ...
Name : Neech
First : Catherine Agnes
Age :
Occupation/Relation : Wile of Thos Wm Alex
Address : Chatham, Rochester
Year : 1902
There is only one record of a Thomas W.A. at this period so it is highly likely (but not proven) that his second wife was Catherine Agnes

Source : Robert Neech Family Tree from Evalyn