Thanks to samples provided by @Werner and @der_herr_g in the comments to my OP, I got close to what I'm looking for. The only thing I'm scratching my head about is how to replace the Roman numeral with text numbers? So, instead of Part III I want Part Three?
EDIT:
Ah. I just had to add \renewcommand{\thepart}{\Numberstring{part}} . I updated my code and image below.
\documentclass{memoir}
\let\ordinal\relax
% TOC title
\makeatletter
\renewcommand{\printtoctitle}[1]{\centering\HUGE\textit{Contents}}
% Chapter
\usepackage{fmtcount}
\renewcommand{\thechapter}{\Numberstring{chapter}}
\renewcommand{\cftchapterleader}{}
\renewcommand{\cftchapterfillnum}[1]{\hspace{10pt}\huge#1\cftparfillskip\par}
\renewcommand{\cftchapterfont}{}
\renewcommand\chapternumberline[1]{\hfil\Large\emph{#1}\hfil\strut\huge\par\nopagebreak\hfil}
% Part
\renewcommand{\cftpartleader}{}
\renewcommand{\cftpartfont}{}%
\renewcommand\partnumberline[1]{\centering\huge\scshape Part #1: }
\renewcommand{\cftpartformatpnum}[1]{}%
\renewcommand{\thepart}{\Numberstring{part}}
\patchcmd\l@part{%
{\cftpartfont {#1}}\cftpartfillnum{#2}%
}{%
#1\cftpartfillnum{#2}%
}{\typeout{patched}%
}{}
% Spacing
\setlength{\cftbeforechapterskip}{0pt}
\setlength{\cftbeforepartskip}{50pt}
% Document
\begin{document}
\tableofcontents*
\chapter*[Introduction]{Introduction}
\part{This is the First Part}
\chapter{Where it All Began}
\chapter{Some More Beginning}
\part{This is the Middle Part}
\chapter{Some Drawn-Out Diatribe}
\part{This is the Last Part}
\chapter{Starting to Wrapup}
\chapter{The Insightful Conclusion}
\end{document}

\documentclass...\end{document}themselves. So, create a base document, with some chapters and section and possibly somelipsumtext, that creates a ToC. Then the community can copy-and-paste and work. – Werner Feb 10 '23 at 00:35\usepackage[light, osf]{CormorantGaramond}seems to give a good approximation if you adjust the letter spacing and turn off the ligatures for "Th". – der_herr_g Feb 10 '23 at 01:55\documentclass...to\end{document}) that we can compile that shows your problem. Why do you expect others to invent a document that may have nothing to do with your problem? --- GOM – Peter Wilson Feb 11 '23 at 18:45Peter Wilsonis one of aLaTeXgreat, so please give proper reply, your words really hurts (sorry if my words hurts you) – MadyYuvi Feb 16 '23 at 15:29memoirclass that you are using, have some respect. – JamesT Feb 16 '23 at 15:38\setrmarg{0em}; your\patchcmdneeds a closing "failure" argument. Also, if you feel that your code solved your question, can you post it as a separate answer below, rather than an edit to your question? – Werner Feb 16 '23 at 20:26