I am searching for a young adult adventure series I read in the 70's, although I think the series was several decades old at the time. It was based on the adventures of young adults on the frontier of colonial, American Revolution and Post American Revolution America. Debby Boone was the main character of one book, and she leaves the message "D Boone cilled a bar" carved into a tree after dispatching a bear. Another book had the heir to the French throne being brought up in a cabin in the remote mountains of frontier America. The title of the series was something like "The Young Rifles" or the "Young Frontiersmen". I've never run across the series, but would love to find them.
Could it be ‘Debby Barnes, trader” by Constance Lindsay Skinner published in the 30s?
She kills a puma, rather than a bear, and into the tree is inscribed ‘Debby Barns cilled a panter”
She also wrote ‘Roselle of the North’, ‘Becky Landers’ and many others. If the author’s name is googled there are references to collaborations with both boys and girls scout organisations, and of producing stories for girls ‘with guts’