Does anyone know what kind of trees these are?
Many of the ones with this twisted appearance are Oak trees of some sort. The ones growing within a couple hundred meters of the coast are the most twisted, from the strong coastal winds. The same trees a little further inland are tall and erect, protected from the winds by the other trees.
To be sure, I'll have to ask "Wild Martha" the next time I see her.

P.S. A local newspaper article suggests that little is known about the original Martha, and even whether or not she had an actual vineyard here is in question.