According to The Telegraph, members of the congregation looked on in horror as fishermen attempted to rescue the pastor.
Local reports indicate that Eshete died from bites to his legs, back and hands.
Local resident Ketema Kairo told the BBC's Amharic-language service that the Sunday afternoon ceremony had just begun when the incident occurred.
Donald Trump appears to struggle with lyrics to 'God Bless America'
The person spoke on condition of anonymity Wednesday because of the sensitivity of the issues. Jenkins had said the day after the Super Bowl he wouldn't go to the White House .
Tunisia prime minister fires interior minister after migrant boat sinks
UNHCR urged "durable" solutions for refugees and legal channels such as private sponsorship, family reunification and naturalisation.
Rescuers tirelessly search for 200 missing near Guatemala volcano
But in places like Los Lotes and the village of El Rodeo, about eight miles downslope from the crater, it was too late for many. Guatemala's seismology and volcanology institute is warning of new volcanic flows on the western slope of the Volcano of Fire.
A pastor has reportedly been killed by a crocodile whilst carrying out a lakeside baptism in Ethiopia.
Lake Abaya, one of Ethiopia's largest lakes, "is known to have a huge crocodile population", according to Ethiopian news site Borkena. These can grow up to 6 meters in length and are believed to be responsible for over 300 attacks on humans in Africa every year.
Speculation is mounting the pastor may have been killed by a Nile Crocodile.
Humans are "less powerful and slower in water than any similar-sized wild mammal and therefore easy prey" for the "opportunist ambush predator", according to a United Nations report.