SGD-R15-144x96. Series 500
Also store in Phoenix AZ 85248
I'm afraid this sticker doesn't tell me anything about your door or the rollers it uses. In order to help, we will need you to remove the rollers in question and show me a picture of them by themselves. Specifically, we need to see them from the back, sides, and top. Dimensions would also be a huge help.
For instructions on how this can be done, I recommend watching the video below.
I agree, the 81-056 is very similar. The width appears the same at 11/16", though I can't quite make out the height. As long as yours is 1-1/8" then it should work well as a replacement.
I have a Series:51 AAMA/NWWDA 101/I.S.2-97 SGD-R15-144x96 sliding door that I'm trying to replace the rollers. Rather then taking the whole door off the track, I took the side frame off and can see the rollers and tried sliding the roller out but they won't budge even slightest even after lowering the rollers all the way. I lifted the door slightly off the track to see if there are any screws connecting the the rollers to the bottom of the door and I don't see any. Please Help! Thank you.
I'm afraid patio door rollers aren't meant to come out that way. You're going to have to remove the entire door if you want to get the rollers off. I know that's probably more of a project than you wanted before you even had a replacement on hand, but there are no shortcuts. It has to be done.