Hidden Restaurant in Silver Lake
The commercial stretch of Rowena with restaurants is just barely a half-mile, from Hyperion to Glendale Blvd. where Rowena ends. The Edendale Grill is only two blocks from Blair's.
So a mile east of Blair's would (probably) be on Glendale Blvd. and about as far as the Red Lion Tavern, which is back from the street with a patio ... is that what you're thinking of?
Red Lion Tavern
2366 Glendale Blvd, Los Angeles, CA 90039
Edendale Grill, maybe?
Incidentally: Though it's nice inside, the place has been completely dead both times I've gone there for dinner on Saturday night, and the food is not really good enough to merit the cost. The adjacent bar seems like a nice spot, though.