N.M. Stat. § 31-6-2
The jurors shall select one of their number as foreman of the grand jury. The foreman shall preside over the sessions of the grand jury. The foreman shall administer oaths to witnesses. The foreman will sign all reports, indictments or other undertakings of the grand jury. The foreman may appoint one member of the grand jury as a clerk to aid in the keeping of notes or minutes and the tallying of votes during secret sessions when no persons other than grand jury members may be present. The foreman may recess the sessions of the grand jury and reconvene them. The foreman, for good cause, may request the court to excuse or discharge individual grand jurors and to replace them with alternate grand jurors as necessary to continue the work of the grand jury.
NMS § 31-6-2