While identified with a mother and baby's name, this postcard photograph does not provide us with a photographer or location. As you can see, the front is labelled, "Frances Jeannette Judson, Age Four Weeks." The reverse is marked, "Laura Horton Judson And Daughter."
A quick search of the US Federal Census yielded only one match for this mother-daughter name combo, in 1920, Osbron, Maricopa, AZ:
George A. Judson, 32, Principal, Public School
Laura H. Judson, 28, born Michigan,
Frances J., 7, born Michigan
George A. J., 4 2/12, born Arizona
The family is found in Scottsdale, AZ, in the 1930 Census with the addition of Eugene H., b 1922. Frances is now going by the name "Jeannette." Laura Judson's occupation is listed as "Dietitian, Private School."
It would appear that the Judson family moved to Phoenix and started a private boys school there. George, Jr. taught at the "Judson School" in 1938.
I don't know what became of (Frances) Jeannette Judson after 1930. With the 1940 Federal US Census coming out soon, we may be able to find out more.