Assuming that foals are produced by a simple random process centered at 50% males / 50% females, a herd of 150 adults should contain between 37.75% and 62.25% females according to this relationship, where n = 150 and p-bar = .5.

Converting to integers, the number of female adults should range between 57 and 93.
Given that twins are very rare for horses, a herd of 150 adults should not be able to produce 100 foals unless something has occurred that invalidates the assumption of 50% males and 50% females.
Your host sent an email to the Chincoteague Volunteer Fire Company this morning seeking the current size of the herd and the number of adult males and females.
