Grass ID is almost impossible just looking at a tuft.
Carefully take apart a few leaves and post pictures of how it looks at a joint. There are specific ways that the blade comes out from the base that can help. Usually there is some sort of sheath, then the blade grows longer out of that. The way the sheath wraps around the blade, if there is a collar of tissue or hairs and other details are specific to each species of grass.
Also, post pictures of the flowers and fruit. These are distinctive, too.
Yes, VV, this really does resemble the tufts of grass I also get on acidic, mossy, thin, soil. It is hard to tell but it is only maybe 3 inches tall. Because of the previous residents' attempts to grow grass on rocks under pinoak trees, I see this often. When it does flower, the stalks are thin and wispy. I think it is stray bluegrass.