Maybe we have a common relative who dates further back. What is your great grandfather's name? I'll list the first names of the Jimenez offspring that have been passed down: Joaquin, Andres Federico, Alfredo, Rudolfo, Ramon, Mateo Francisco, Gustavo, Teresa, Olivia, Claudio, Alejandro, Luisa, Maria, Ramona, Braulio. Do we have any common names?
What is the earliest date you can place your Jimenez relatives in Arizona, Mexico and New Spain? Did you know there are Jimenez's in Florence, AZ who have lived there many years? Have you researched the Morman Church Family History Library or the AZ state archives? I was able to find info. in those records. Let's keep in touch. We may be able to figure out the puzzle of the historical AZ Jimenez families.