I believe this is from the '02-'03 season looking at the all-time Blue Jackets numerical roster.
19 - Mathieu Darche
37? could be 33 hard to tell - Looks like 33 Jamie Allison
14 - Ray Whitney
12 - Ted Drury
25 - Andrew Cassels
8 - Geoff Sanderson
48? could be 45 - It's a 45 Jody Shelley
7 - Scott Lachance
22 - Chris Nielsen
78? could be 70 hard to tell - No one has ever worn 70 or 77 for the CBJ
Also was a 17-Tomi Kallio
Also was a 5- Jamie Heward
That's all the ones I'm for sure on. I had nothing to do, but if you gave me better pictures I'm sure I could do all of them.
If I had to guess, this was signed before the '02-'03 season or right at the beginning of it.
I'll give you $80 for it though. It's really not worth a ton. I didn't see a Nash signature, but I saw one that looked like a 61, 51, or 31. Didn't look like Nash though. You can see the amount people ask and the amount they take, not many people are willing to spend hardly anything on this especially without a COA. You'll be waiting about 50 years to get $1k for it, and that's only if the team starts to become a huge success.
EDIT: just to show you how much signed hockey sticks are worth, check out Ebay.
http://cgi.ebay.com/1980-USA-HOCKEY-TEAM-AUTOGRAPHED-RARE-HOCKEY-STICK_W0QQitemZ110449682494QQcmdZViewItemQQptZLH_DefaultDomain_0?hash=item19b750683e
1980 USA "Miracle" team signed stick, Buy it now $450