He played cricket for Merchiston Castle School.[8]
After rugby union, Woodrow became a lithographic printer. He owned a business with his father based at 75 Glassford Street in Glasgow. The rugby union player died on 28 February 1916 and was buried in the Glasgow Necropolis. The value of his estate at death was £4814; 0 shillings; and 4 pence. His son Alexander Woodrow Junior was granted confirmation for the estate.[9]
The rugby union player predeceased his father. Woodrow's father, also Alexander Woodrow, died later that year on 7 October 1916 in Ayr. As the head of the Alexander Woodrow & Son lithographic printing and engraving business he left a larger estate of £76,271; 8 shillings; and 3 pence. Again, his grandson and the international rugby union player's son, Alexander Woodrow Junior (also a lithographic printer), was sadly granted confirmation of the estate.[9]
The only son of Alexander Woodrow, the aforementioned Alexander Woodrow Junior, was also a promising rugby union player. However while playing for Loretto School against Edinburgh Academy he received a 'severe blow on the head' in 1910. He was taken to Edinburgh's Royal Infimary where he was treated for concussion; and then had to recover further in Dr. Stile's nursing home.[10]