Hi Gary
The wiring at the programmer should be moved over to the Nest Heatlink as follows:
Honeywell 1 (Hot Water off).......Nest 4 (Hot Water Satisfied)
Honeywell 3 (Hot Water on).......Nest 6 (Hot Water Call for Heat)
Honeywell 4 (Heating on)..........Nest 3 (Heating Call for Heat)
The Lives / Neutrals are a like for like swap.
Then you need to add some links, so that the Live terminal also connects to the two common terminals 2 and 5
Which brings us to decommissioning the original thermostat. There are 3 possibilities. 1 is the preferred solution, but 3 is the easiest.
1. Find the opposite end of the thermostat cable to the thermostat, and disconnect it. Then link the terminals where the yellow and red wires came from together.
2. Remove the existing thermostat and replace it with a junction box, connect the yellow and red wires together and isolate / insulate the neutral
3. Leave the existing room thermostat in place and put the yellow wire in terminal 1 along with the red.
There are two choices to power the Nest thermostat, either wire it to the heatlink T1 & T2 which you can do using the existing cable if you have decommissioned the thermostat using method 1 above. Or by using a separate plug in power supply.
EDIT
Just to clarify. When you say:
"I want the nest stat to go where the original room stat is if possible using the power that is there to power it."
You can't actually do that. The existing thermostat wiring is 230V, but the Nest thermostat is only 12V. So, it needs to get that 12V from either a 'plug in' power supply, or by Wiring terminals T1 and T2 at the Nest thermostat to the corresponding terminals at the heatlink. As I said above, you can use the existing thermostat cable for the 12V, but only if it has been completely disconnected from the existing mains wiring. However, even if you do this, you may find that the cable doesn't run to where the heatlink is located. Depending on the wiring layout of your installation, you may find that the other end goes to a junction box / wiring centre elsewhere, making it impractical to use.