Good info above. I have been digging here an there as well. You are definitely pre 1900/1901, which is when they dropped the "pat. aug 21 1894" and added "Trademark" to the tang markings. The period after 1894 was removed at roughly SN 15,101 (1895) and remained the same until it was changed again at SN 222,500 (1900-1901). At this point, the Pat. was removed from the tang, and was replaced with "Trademark". In 1908, the Tang changed again at ~500,000 to bring BACK the "patent" information. However, at this change, they did not bring back the "Aug 21" date. With that being known (based on world wide survey of known serial numbers and known MFG date), you are between
1895 (post period removal) and 1900/1901 when the Patent information was removed from the tang and replaced with TRADEMARK. Below is the image of the tang change at ~222,500 (1901), and then the tang change again at 1908
1895-1900
1900/1901-1908
1908-1920ish
1920
No matter the year in that 1895-1900 range, you have one of the earliest 1894s that i have seen, and one in unbelievable condition for its age. These rifles were rode hard back then.
Take a look at that SN when you get a chance, and also take a look at your barrel markings. Those changes appear to be another key to identifying date of mfg other than the serial number if it cannot be read.
I would respectfully disagree to the serial number comment above. The hard facts of the screws and the bbl/tang markings will give you an accurate pre/post date...but the serial number will give you the more accurate year of MFG. Granted, the exact records at Winchester for guns 354000-2600000 were destroyed in a fire (we think). And ALL data from WIN doesn't exist for a bunch of different reasons. But,
most serial number ranges and dates of manufacture for early models are known and it's maintained by The Cody Firearms Museum. All Winchester data for <354,000 is pretty darn accurate according to winchester records. Everything between then and ~1945,
most serial numbers are known and extensive surveys have taken place to identify which serial numbers coincide with specific models and changes. These are arguably the world's most popular rifles, the amount of research, time and record keeping of these serial numbers is pretty spot on and well documented, whether it be by Winchester, CFM or others. Now, not to say the source of these SN's and the date of mfg they represent cant be a bit off...but the SN will tell you your year +/- a year or so in most cases as long as the SN is entirely legible. Problem with a lot of these rifles, the SN can't be determined so you have to make an educated guess based on known changes like the loading gate screw, or the bbl/tang markings. The transition SN's and dates of MFG can be off with the hard changes too, so there isn't an exact science.
I would contact Winchester. They have a phone number on their website for their Winchester historian in Morgan Utah (800-333-3288). You never know...your rifle might have a record, and they may even have record of who it was shipped to from the factory. If they have nothing, try and call the Cody Firearms Museum
Some good info here:
https://www.winchesterguns.com/support/faq/date-your-firearm.html
The tang changes above are based off of world wide survey results of known rifles, their identifying marks, and their serial numbers. Your rifle should be between 1895-1900/1901. The serial number will refine it further.