BALTIMORE (REUTERS).- Of all the cities that claim a connection to the troubled author Edgar Allan Poe, Baltimore likes to think its case is strongest. Poe’s family is from Baltimore, his literary career began in the city, he died a mysterious death at a Baltimore hospital and his body was buried here in 1849. But the city that named its NFL team after his poem “The Raven” may soon lose a key physical connection to Poe. The Edgar Allan Poe House and Museum, where the writer lived for four years in the early 1800s, is in danger of closing next year, due to budget cutbacks by the city. “Everyone is tightening their belt,” said Jeff Jerome, the museum’s curator and only employee, who also works for the city’s planning department. Cash-strapped Baltimore stopped funding the museum’s $85,000 budget two years ago. It now operates on funds raised privately over recent years. A feasibility study, to be completed by D