I'd say early thirties.., and maybe four months on the baby?
Can't really help much past that.
My mom was into chalk (pastels), and I do know they are pretty fragile, even when set with some sort of spray.
With that, all I can offer is it may not be very old, unless it's been undisturbed all that time. (?)
Based on the size, the type of paper (looks to be cabinet card stock/heavy paper) and style of the artist, I'm thinking early 20thc as well.
I think the answer your looking for may be hidden under this piece of cloth?
"Cabinet cards are photographs or paintings presented on stiff pieces of cardboard. The cabinet card steadily increased in popularity during the second half of the 1860s and into the 1870s, replacing the carte de visite as the most popular form of portraiture. The cabinet card was large enough to be easily viewed from across the room when typically displayed on a cabinet, which is probably why they became known as such in the vernacular. However, when the renowned Civil War photographer Mathew Brady first started offering them to his clientele towards the end of 1865, he used the trademark "Imperial Carte-de-Visite." Whatever the name, the popular print format joined the photograph album as a fixture in the late 19th-century Victorian parlor. The popularity of the cabinet card waned around the turn of the century, particularly after the introduction of the photographic postcard, but they were still being produced until the First World War."
Dave