Wyo. Stat. § 15-5-206
If any paid fireman dies, leaving no surviving spouse or children, but leaves a surviving dependent father or mother or both, the board shall pay to the mother if there is no father, to the father if there is no mother or to both, out of the firemen's pension account, a monthly amount equal to the pension the retired fireman was receiving if retired at the time of his death, or if in active service at the time of death, a monthly amount equal to the greater of the monthly benefit payable to the fireman under W.S. 15-2-204 at the time of his death or the monthly benefit payable under W.S. 15-2-204(a) for twenty (20) years of active service. If either the surviving mother or father dies after the payments have started, the board shall pay to the surviving parent the full amount as computed under this section.
W.S. 15-5-206