The cemetery at that time would be South Park Cemetery. There is no burial record for this person. There is a listing for a Baby Loving but no date of interment is available. Probably one of the burials done before the City of Roswell took over the former Masonic Cemetery and turned it into South Park.
There is not a listing on the New Mexico Death Index for her either. The only Loving's on the NM Death Indez are:
Martha E. - who died 2-18-1932 - 70 yrs. - Valencia County
Wm H. - 7-23-1928 - 37 yars - Grant Cty.
Jimmy - 5-101947 - agge 3
R. C. Loving - 7-21-1948 - age
Do you have any idea when she died in 1909? Who was her husband? the age she was when she died? Anything like that? Maybe we could locate some more info if we had a family name or a date.