Being a nerd, I was inspired by Frogtutor's name popularity thread to find out whether or not having a president with a certain first name inspired parents to name their children that.
http://www.birthdayalarm.com/NamePopularity.jsp?bdaysession=1537621350352889497&Ran=831475010<For the sake of comparison, I will include the decades prior to and following decades of service.
Theodore (Roosevelt) - 1900s: #42
1910s: #63
William (Taft) - 1900s: #2, 1910s: #2
1920s: #4
(Thomas) Woodrow (Wilson) - 1910s: #72, 1920s: #282
1900s: > #1000
1930s: #321
Warren (Harding) - 1920s: #51
1910s: #102
1930s: #99
(John) Calvin (Coolidge) - 1920s: #83
1910s: #167
1930s: #127
Herbert (Hoover) - 1920s: #36, 1930s: #55
1910s: #39
1940s: #98
Franklin (Roosevelt) - 1930s: #75, 1940s: #127
1920s: #139
1950s: #160
Harry (Truman) - 1940s: #52, 1950s: #89
1930s: #36
1960s: #142
Dwight (Eisenhower) - 1950s: #152, 1960s: #219
1940s: #173
1970s: #300
John (Kennedy) - 1960s: #3
1950s: #4
1970s: #6
Lyndon (Johnson) - 1960s: #502
1950s: #753
1970s: # >1000
Richard (Nixon) - 1960s: #8, 1970s: #16
1950s: #7
1980s: #27
Gerald (Ford) - 1970s: #104
1960s: #62
1980s: #175
(James) Jimmy (Carter) - 1970s: #105, 1980s: #138
1960s: #81
1990s: #205
Ronald (Reagan) - 1980s: #70
1970s: #45
1990s: #135
George (Bush) - 1980s: #72, 1990s: #105
1970s: #49
(William) Bill (Clinton) - 1990s: #963
1980s: #664
Looks to me like naming your baby after a sitting President has become less popular in the last few decades.