Hi there! Sorry for the delay in commenting. I kept meaning to leave one and life kept happening. So, if you're still interested, here is my take...

Any conversation about the history of Halloween has to have a disclaimer. The history of Halloween is not very well documented or explored by academics. Weird, right? It's so popular in the US that it seems like we should know a lot about it. But... Everyone knows just enough to gloss over it through the centuries; actually digging into the heart of it is rare. It's hard for historians to answer all questions simply because there's both a lack of sources and a lack of academic texts/analysis.

There were, indeed, songs and little chants written for Halloween, or more specifically, for All Hallows' Eve. Children and the poor would go door to door begging for "soul cakes" in exchange for saying prayers for the homeowners' dearly departed. Most of the songs have been lost to time, but a few folklorists have been able to collect some from the late Victorian era in Britain, when folklore as an academic endeavor was just taking off.

Why we no longer sing these Halloween songs vs Christmas carols, I believe is due to the nature of the two holidays. Christmas and Halloween used to have a lot in common (feasting, drinking, merrymaking in public, pairing a pagan/folk celebration with a sanitized Church event, ghosts), but Christmas has overtaken Halloween due to the publicity it received. After the Reformation, Halloween was dismissed by many Protestants as backwards, Catholic, lower class - in a word, Celtic. Halloween wasn't widely celebrated for centuries, but thankfully the folk holiday was kept alive by Irish and Scottish families in remote areas of the British Isles and even in America. It only recently regained its footing thanks to Queen Victoria finding the Scottish fetes quaint and charming in the mid 1860s. The cutesy/romantic Halloween was in full force by the end of the Victorian era in both Britain and America, which is fitting in the era of nostalgia and spiritualists.

Christmas, meanwhile, was sanitized, civilized, and infantilized by centering it around the wholesome realm of children/the domestic sphere. Marketing and advertising played a big part in changing the perception of Christmas and printing Christmas carols/hymns became fashionable in the 19th century. Funny enough, Halloween would also be subjected to the same civilizing process at the end of the 19th century and well into the 20th century, but by then the tradition of "souling" was modified. Children still went door to door but the traditional songs were swapped for a single refrain - "trick or treat."

Sources: Stephen Nissenbaum, "The Battle for Christmas,"; pretty much anything by Jack Santino but mainly, "All Around the Year" and "Halloween and Other Festivals of Death and Life,"; Susan G Davis, "Making Night Hideous," article; and Bill Ellis, within one of the Jack Santino books.