1. A microscope system, comprising: a microscope for obtaining a microscopic image of a specimen; an observation state obtainment unit for obtaining an observation state of the microscope at a time of obtaining the microscopic image; a motion image data generation unit for generating data of a motion image from microscopic images of a time series; a correlation addition unit for adding, to data of the motion image, information that correlates microscopic images constituting the motion image with an observation state of the microscope at a time of obtaining the microscopic images; a record unit for recording data of the motion image and an observation state of the microscope correlated with the data; a display unit for displaying a microscopic image by replaying the motion image based on data of the motion image recorded in the record unit; a motion image operation unit for controlling replay of the motion image in the display unit to search for a microscopic image to perform a reproduction; a reproduction instruction obtainment unit for obtaining an instruction to make the microscope reproduce the observation state; a microscope control unit for controlling the microscope to reproduce the observation state at the time of obtaining the microscopic image displayed in the display unit when the instruction for the reproduction is obtained; and a flag addition unit for adding predetermined flag information to a microscopic image included in the microscopic images of a time series and obtained by the microscope when a movement speed of a freely movable stage which is equipped in the microscope and on which the specimen is placed becomes a predetermined value or less, or to a microscopic image included in the microscopic images of a time series and obtained by the microscope when an object lens used in the microscope is changed to an object lens with a higher magnification ratio.