I checked the “Registry of American Families Entitled to Coat Armor” published for the Genealogical Association by Crow Press of NY in 1904 (re-copyrighted in 2016 by FB &c Ltd) and the only possibility that came up was another “Butler”.
Specifically, a 1748 listing for Thomas Butler of Lancaster County, Pennsylvania (originally from Ireland). The arms were listed as “Or [gold], a chief indented azure [blue] and three escallops in bend counterchanged”; the Crest as “Out of a ducal coronet or [gold], a plume of fine ostrich feathers argent [silver], a falcon rising of the last”; the motto as “Timor Domini fons vitae”.
So the crest and motto were essentially the same as for the picture I posted for Francis Butler of Hastings (England), with the crest not matching to the ring.
There were other Butlers too, including some in Louisiana including those found by ‘relevantchair’. I no longer use genealogy sites that require payment (most of the best ones these days) and also my European IP address gets blocked by some of the American sources for information in order not to fall foul of European data protection laws… so I can’t help much in joining the dots between the various Butlers into Louisiana… even assuming that it’s a Butler we’re looking for.
Just a couple of other things to remember. Off-shoots from the main lineage of a family as a result of marrying into it might well use elements of the original family crest as I mentioned previously. The ring looks rather small, to the extent that it could be a ladies’ ring for someone who married into the family. Also, note that the American registry I referenced above uses the words “… Entitled to Coat Armor”. What we have on the ring is a standalone crest without an armorial, and also with no coronet to suggest nobility. It was often the case that those not strictly ‘entitled’ to an armorial might still use elements of it if they felt they had a family connection… or even ‘borrow’ heraldic elements that they found attractive or appropriate to create their own crest in order to impress people. There was a tendency for a certain amount of ‘one upmanship’ in those times, whereby anyone regarding themselves as prominent in the business community felt disadvantaged if they didn’t have an armorial, or a crest at the very least, whether they had a true ‘entitlement’ to it or not.
For example, that’s my family armorial in my avatar, which is registered with the College of Arms in London. It has specific elements in the crest (a helm surmounted by a fish) and a motto of "In Cruce Salus" (In the cross there is salvation) which relate to a Knighthood granted by King Richard I in 1191 towards the end of the Third Crusades. I feel entitled to ‘use’ it on the basis I believe (with evidence that has some temporal gaps) my family can be traced back to that connection. But other folks having no likelihood of the same family lineage have also since ‘adopted’ it and versions of it purely on the basis that they happen to have the same surname. Elements of it as ‘borrowed’ emblems also appear in other crests, including for completely unrelated surnames.
