<p>Once you have the soprano and bass, getting the inversions and Roman numerals should essentially be a process. It's kind of hard to explain, but I'm going to give it a shot: </p>
<p>From the outset,
1) Make sure you know the key!
2) Chances are, you're starting with a I and ending with a I
3) You will have a cadence at the end, so know your cadences so you can plug in the Roman numerals there with some ease </p>
<p>Figuring out the Roman numerals, etc:
1) The bass part is the most important. It will tell you the possibilities for the Roman numerals. For instance, if you have a scale degree 5 in the bass (5th note of the scale in the key you're in), you might have a I 6/4, a V, a III 6/3, or a VI 4/2. That in and of itself narrows down your options a lot. Depending on your soprano note, that narrows down your options even more. If you have a 5 in the bass, and a 3 in the soprano, then your possibilities are III 6/3, I 6/4, or VI 4/2. Then, depending on context, you should be able to figure out what chord you have. If you're only dealing with triads, rule out the VI 4/2 and then you're left with only two potential chords.
2) Regarding context, as far as Roman numerals go, usually they will be descending.
2a) You will have pre-dominant chords before dominants, and then dominants will precede tonics.
2b) Generally, the Roman numerals will descend. For example, you will start with I, then perhaps have VI, IV, V, I.
3) So in the example we had before, if the chord in question is in a pre-dominant position, you can rule out the I 6/4, then your only two possibilities are III6 or VI4/2. The VI4/2 is pretty uncommon, but depending on the context, it could be either. </p>
<p>Also, if you can figure out the quality before you deal with the Roman numeral and inversion, you can narrow your possibilities down a lot. </p>
<p>I know that explanation's probably really confusing, but I hope it helped at least a little bit.</p>