The first portrait is from From Bolton, facing p. 81, and purports to be William Herschel (1738-1822).
The second portrait is from from Macfarlane, frontis., and purports to be his son, John Frederick William Herschel (1792-1871).
A quick look at the portraits of John Frederick William Herschel at The MacTutor History of Mathematics Archive entry on J. F. W. Herschel would seem to indicate that Macfarlane's illustrator was in error and that this is in fact a portrait of the father, not the son.
Bolton, Sarah K. Famous Men of Science. NY: Thomas Y. Crowell & Co., 1889.
Macfarlane, Alexander. Lectures on Ten British Physicists of the Nineteenth Century. New York: John Wiley and Sons, Inc., 1919.
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