The children are Kay and Doris Adams and the pictures around 1915.  I’m pasting in an e-mail below that I received from a historian in Hot Springs that probably has the rest of the information that would be of interest to you.  Please feel free to post the pictures.

None of these were actually taken at Hot Springs National Park (at that time called Hot Springs Reservation), but they were taken in the city of Hot Springs that surrounds the park. The one with the goat and cart was probably taken in Happy Hollow on Fountain Street. Happy Hollow was a 1915 version of an amusement park, and the proprietor, John McLeod, was also a photographer who specialized in novelty images. He sometimes called his place a  "Wild West Park," but the emphasis changed from year to year.

Fountain Street forms the north boundary of the park but is not part of the park. 

The ostrich farm was in what was then considered the suburbs on Whittington Avenue. It went out of business in the 1940s. 

The structure in the background of the other two images is unfamiliar, but it is probably one of the smaller boarding hotels in Hot Springs. It looks a bit like the Waverly Hotel, but I just can't tell for sure. 

Thank you J Bell 4'07