There isn't really a specifically "classical" definition of conservatism the way there is for liberalism.
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In the United States, liberalism is usually divided into pre- and post-New Deal conceptions, where the pre-New Deal “classical” liberal (Cleveland, Wilson) was focused on lack of government restraint and the post-New Deal liberal took a more holistic view of liberties. (A third form of “neo” liberalism comes along when globalism is introduced into the mix c. 1970s, but I disagree that this fundamentally altered liberalism.)
Conservatism, by contrast, is a valence rather than a principle, so while its core definition can change over time, I’ve never agreed with any attempt to split it into clear time periods like liberalism.
Wilson is really a transitional figure in this, representing both definitions of liberalism in different ways.