James Rutherford Cathey - Source Clarification Needed

That source is an application for SAR. It's validity is dependent on the reliability of the information provided by the descendant that applied for membership.

Debra: I'm not sure what you mean by "...do not have the authority to remove my ancestor."

No, you cannot (nor can a Curator) alter the document (short of downloading, altering, and uploading the altered copy).

However, are you able to 'cite' the appropriate Geni profiles against that existing document (creating new profiles if any are missing, then citing those new profiles also)? Click on the "(Add)" link next to the "Profiles" on the right side of the document viewing page you have in your second posting above. Link in the Geni profile, then "cite" the values shown in that document (e.g. name fields), and "save" them.

So, Debra, here's what I did for the two "oldest" profiles referenced on that document:

I viewed the document "full size" in a browser tab.
I then went to the Geni profile (e.g. General Griffith Loch Rutherford), selected the Sources tab, then clicked "Add Source".
I then selected the tab to "add/capture" a web page, and pasted the URL of the 'full-size' document.
That then brought up the "Citation" panel, where I could go back & forth between the "full-size document" tab and that citation tab, entering each fact for that person found on that document (e.g. first name, last name and/or birth surname, birth date-as-shown-on-document, birth-location, etc. [often 7 facts for the profile and 3+ facts for the relationship)
Then click SAVE on that citation page.

Repeat for each person found on that document.

As I mentioned, I did for for General Rutherford and his wife Mary Elizabeth Rutherford..

See if you can do that for the others...

And ....

I didn't notice before I "cited" the full-size .jpg that (for the General) the originall document was attached to his profile -- but didn't have facts cited. In the Sources tab, I then clicked the "Add Source", but then selected that previously attached "SAR" source document, and (on the Relationships), added the citation for the daughter (Blanche Elizabeth Locke) of that relationship, and now that same document shows up in her profile, where further citation of details can be done (which I have not done at this point).

Check the Sources tab on the profiles and what you can do with it; if the source is already attached, open it in a different tab (e.g. full-size) so you can see the details, and then cite the values shown in the document. By 'citing' the family relationship (e.g. spouse, or child, or parent) as defined in that document, that particular profile then is automatically "attached" to that profile (albeit facts are not automatically cited if it's a simple image which Geni's software doesn't know how to "parse").