(outside the 1850s to 1950s South, which was a one-party region which was obviously going to include Democrats of all ideologies)
I'm singling out this section because the South basically controlled the Democratic Party at the national level through the Civil War period, and well after it. Also there were a lot of rural Protestant Democrats in places like the Midwest and West who could plausibly be considered conservative.
This is fair. I'd imagine the Democrats in places like Southern Indiana/Illinois/Ohio could definitely be called conservatives. I still think the ethnic urban Dems in NYC/Boston probably would have been "left" of center in most respects even back then, but that started out as a small chunk of the Democratic Party.