Cricket jargon - a player is said to carry his bat if he opens an innings and eventually remains not out at the end of it. This term is generally only applied to innings of 10 fallen wickets rather than innings ended by declaration, compulsory closure or other circumstance.
You've disappointed me, bilby. As opening bat I have thought that I carried my bat on a number of occasions. However your condition of '10 fallen wickets' is new to me. But I checked with a reputable source to find that you are right.
Shame, this, when virtually all grass roots level matches are limited overs and the majority of innings end without all 10 wickets falling. Slim chance of carrying your bat, then, in most cricket played.
There was a bit of a discussion of this today vis-a-vis Katich's innings against New Zealand. It wasn't so much about the term but about 'recent' times it has happened and how rare they are. Which led me to look into it a bit further. Seems a bit unfair on the poor openers who, all things considered, generally have a hard time of it.
In honour of your contributions I hereby award you the rank of Knight Commander of the Carried Bat. Commoners may address you as Sir Gangerh and you may belt them over long leg if they don't.