This what I have on Bedford Springs:
* the original course dates back to the 1895 designed by a fellow named Oldham. The course was supposedly 18-holes and 6000+ yards. I've not been able to confirm this info and I have my doubts about both claims.
* in 1912, according to the commonly told story today, Tilly was brought in and produced a nine hole course to replace the old 18. I have not been able to confirm Tilly's involvement and it seems too early for him IMO. Besides his early architectural activities were very well documented and there is no mention of Bedford.
* in September 1909 American Golfer reported Barker was laying out a new course for Bedford Springs.
* a June 1910 advertisement for BS in Town & Country says that a new 18-hole course is under construction
* an August 1911 article in the Philadelphia Inquirer reports a golf tournament at BS is now in progress on 'the big course'
* a June 9, 1912 article in the Philadelphia Inquirer reports the 18-hole course, which was laid out last summer, had made good progress and eventually will be one of the best courses in the East
* in June 1912 advertisement in American Golfer mentions the new golf links
Based on the timing of events I think it is pretty clear the 1912 course was laid out by Barker, not Tilly, and it was 18 holes not nine. It appears the course was designed in 1909-1910 and opened in 1911.