Shaw told reporters his daughter was born with a severe heart deformation called hypoplastic left heart syndrome.
Judge leads the AL in home runs (22), batting average (.347) and is second in RBIs (49).
Jameson Taillon was inspirational in his first MLB game back since May 3 as the Pittsburgh Pirates defeated the Colorado Rockies 7-2.
Less than five weeks removed from surgery for testicular cancer, Taillon was back on the mound for the Pirates Monday and beat the Rockies.
Shortstop Royce Lewis, 18, was selected first overall to begin the three-day, 40-round draft on Monday.
The Twins kept their choice for the top pick in the 2017 MLB Draft a secret until the very end.
Jones wrote for The Players' Tribune of the struggles he had off the field.
The former major league second baseman has fought off the disease four times already, most recently undergoing treatments last winter.
McCullers is the fourth Houston starter to land on the disabled list in just over two weeks.
Harper is one of three Nats, along with 1B Ryan Zimmerman and 2B Daniel Murphy, among the NL's leading All-Star vote-getters.