Hi Jack,
Not sure if I've mis-read your post, but it sounds like you untied the anchor rope from the bow post and re-attached it to the stern cleat to pull the anchor out.
If so, this is potentially very dangerous.
If the anchor is snagged it can pull the stern of the boat under water. This happened to Mark last year when the rope caught around his outboard.
The safe method for anchor recovery that we have been taught is to allows leave the anchor rope attached to the bow post. In this way, if the anchor does get snagged, all it will do is pull the bow round, allowing you to ease off the power and try again.
Sorry if I've mis-read your post, but it's an apt reminder to everyone, anyway.
cheers
BF