To my knowledge, half-stocks didn't even come about until about 1820-1830. In pre-colonial times there were no firearms. In early colonial times you had Jaeger rifles, which were large caliber, short, stout, full-stock rifles. About the time of the F&I war you had Jaeger rifles; transitional rifles as the Jaeger rifles started transforming into longrifles (still full stock); and longrifles. By the time of the Revolutionary War longrifles of many styles were the norm and those all were full-stock rifles. That continued as the norm well pass the turn of the century.
Originally for the Indian trade, the guns were long-barreled smoothbores. They liked the long barrels because they thought they were more accurate. However, Indians were early adopters of rifles once they became available. Some feel one of the main reasons that longrifles became so popular and Jaeger styles started disappearing was because the Indians wanted long barrels on their rifles. May not be the main reason but they certainly were a big enough share of the market to influence it.
Half-stock rifles didn't really appear until the fur-trade era. There's a reason they are often called "plains" rifles as the mid-west became the center of manufacture instead of Pennsylvania and Virginia. Even the hallowed Hawken rifles were originally made as full-stock rifles, at least as the Dad made them while they were still in Ohio. It wasn't until they moved to St. Louis that they became known for the half-stock rifles. During the fur-trade era, there were certainly "trade rifles" that were half-stock.
Dan