Thank you for your question.
There is no one definite answer for this. The New Mexico Department of Corrections
is silent as to this (if you click the link, and then click "policies", you'll see it is not even addressed). However, what I can tell you is that it is not an automatic right. Much will depend on a) why the prisoner is incarcerated (a person locked up for a violent
crime is less likely to be let out than someone locked up for a lesser charge); b) their record as a prisoner; and c) the relationship of the decedent to the prisoner (if a prison were to consider it, it would be limited to immediate family, such as a parent, like in this case).
Thus, I would suggest contacting the prison where the person is incarcerated and speaking to someone who could tell you what their specific policy is. I can tell you that if they do allow a temporary release, the family would have to make the transporation arrangements which would have to be approved by the prison, and then would be responsible for paying for the costs of having a guard or guards transport and supervise the prisoner.
If you need further information, please do not hesitate to ask, I am happy to help.