I figured it out, with help. Here's the code I needed, before I pasted the already-copied material into the document:
Code:
oRng.ListFormat.ConvertNumbersToText wdNumberParagraph
This comes from here:
Copy Text and Retain Numbers When Pasting – Word Macros and Tips – Work Smarter and Save Time in Word
I only needed the single line of code, though.
Other parts don't work, but this saves me tons of coding.