Here is a direct link to the state's water rights division - http://www.ose.state.nm.us/water_info_water_rights.html.
What is important to understand about New Mexico is that water is a property right and is not owned by the government. It can be severed and sold separately. I would recommend working with a full time buyer broker with knowledge about both water and water rights. The bottom line is to make sure whatever you purchase does have water, whether it be city or community or private well or shared well and that you understand the details of the agreements in place if the well is private or shared. New Mexicans value their water and do not take it for granted. It is a valuable resource and an important one in real estate transactions. It is important to understand "water right" is not the same as water. If you need assistance, do not hesitate to give me a call. Good luck. Emily Medvec