Webster’s 1913 has no entry under this spelling.
Shades of meaning
Fernald has no entry of its own for remonstrate with; he lists it under reprove.
Where he writes about it:
To expostulate or remonstrate with is to mingle reasoning and appeal with censure in the hope of winning one from his evil way, expostulate being the gentler, remonstrate the severer word. — from reprove