John Reid Found?

I am not certain I have found William and Lucinda's son John, but the information that I will lay out now does give me some hope.

Civil War Records indicate that a John W. Reid (b. 28 Jun 1833 - d. 6 Oct 1899) was enlisted in the Alleghany Rough Artillery on 13 April 1862 in Augusta Co., VA where he was residing and working as a carpenter. Supposedly, he deserted four days later in Harrisonburg, Rockingham Co., VA. At the time of his death he was living in Grottoes, Rockingham Co., VA. Another record indicates that in Staunton, Augusta Co., VA he enlisted in Company C of the Virginia 52nd Infantry on 16 Jul 1861.

Now this birthdate is off from the 1827 date given in the 1850 census, but we all know that it seems back then it was hard to have a consistent burthdate from record to record. That said, it still muddies the water a bit.

The rest of the information, however, is what got me excited. First, we know that William was a carpenter, so his son would likely pick up the trade.We also know that Reid/Reed family members resided in the Staunton area of Augusta Co., like Walter Newman Reed's family. Next the fact that he deserted in Harrisonburg and then died in Grottoes is significant given their proximity to McGaheysville.

Any thoughts?