Theresa May has the same problem regarding true Brexiteers in parliament as Corbyn has regarding willing Shadow ministers. Namely, a lack of numbers, although the reasons for the lack of numbers in each case are rather different.
From the set of Labour MPs willing to serve under Jeremy, once you've crossed out the loonies, there isn't a lot left.
There are a minority of Brexiteers, albeit far from a tiny one, among Tory MPs, and the subset of those who are not ocular swivellers is smaller still.
You only had to look at the sorry crew who came on at the time to bemoan the exit of Andrea Leadsom from the leadership contest to see that.
Then there's the Chievening Three, complete with Liam "slimline" Fox.
I rest my case :-)
Of course by the time Brexit happens, if it does, the Chievening Three will be a different Three ...