No, afraid not. There is a website (you have to subscribe to) that has archived old newspapers.
Would this be him ?
Benjamin West
Residence was not listed;
Enlisted on 3/8/1862 at Gloucester Point, VA as a Private.
On 3/8/1862 he mustered into "E" Co. VA 26th Infantry
He was Absent without leave on 2/28/1865
He was listed as:
* Furloughed (date and place not stated) (Sick, never returned)
Sources used by Historical Data Systems, Inc.:
- The Virginia Regimental Histories Series
(c) Historical Data Systems, Inc. @ www.civilwardata.com
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Another Benjamin West in Co.A, 21st Virginia Militia (maybe the same man ?)