No Deer,
There can be a very wide range of what folks mean by a pouch that "goes with" a certain rifle and of a certain time period. This is why I asked what time period you are emulating. Please understand I am not trying to be critical, but we really need more information from you to give you the best answer to your question.
For example, the Bedford County pouch Elnathan mentioned in Madison Grant's book is dated 1850 and that would be way too late for an early Bedford flintlock rifle, unless it was an old rifle in the 1850's by then.
Since I am by no means a student of Bedford Rifles, I looked it up and it seems the earliest flintlock rifles
made in the County was from about 1776. So if your rifle is a reproduction from the AWI period and you want a pouch that would have been made or used in Bedford Country when the rifle was new or fairly new, then that pouch would not be correct. This is part of the reason I asked earlier about the time period you want the pouch to "match" or "go with" the rifle.
To me as a reenactor/living history enthusiast - "matching" a pouch to a rifle involves many things. First of course is the actual time period when the rifle was new and if one is trying to match the pouch to the rifle in that period.
Then next thing is the age and economic status of the rifle owner and even their trade at the time they bought the rifle. For example a young man in his late teens/early twenties during the AWI period almost certainly would not have been able to afford and have a fancy Saddler or Cordwainer made pouch, unless he came from a rich family OR he was a Journeyman period leather worker. It would have been much more likely he would have used an older pouch or one he made himself. If he made it himself and he was not a trained leather worker, then the pouch more than likely was a very simple design and perhaps at least somewhat crude in design and sewing. No doubt this young man would have seen other pouches made or used by others and that probably would have influenced how he designed his pouch.
Where the pouch owner came from would also have influenced the design of his pouch. Many of the first settlers in Bedford came from Cumberland County, though a fair number of early settlers in Bedford came from Maryland. So in the earliest period of rifle making in Bedford, the design of the pouch would have been influenced more by what was made in other counties or even another Colony. If the rifle was purchased new by a man in his 30's or 40's in the AWI, then he may/probably used a pouch he already had and made somewhere outside Bedford County.
http://genealogytrails.com/penn/bedford/history/1843history.html
So to be the most clear, here is the info we need from you to give you the best info to your question.
1. What time period are you emulating? For example AWI period, immediate Post AWI Period, 1790-1800, 1800-War of 1812, Post War of 1812 to 1830, 1830 and later, etc?
2. What is your age and are you emulating a man your age or from perhaps a younger age than you are now, when the rifle was purchased?
3. What was/is your economic status and trade when you made/bought the rifle?
4. Where did you come from when you moved to Bedford County?
The more info you can give us will result in the best information for your question.
Gus