There are variations to this, but what I am about to describe would be the "normal" Highland Scots funeral.

The hearse will deliver the coffin to the church, the coffin is often put on a stretcher type thing(the name escapes me) and friends and relatives 4 or 6 will take it in turns to carry it to the church and after the service to the grave yard, or, back to the hearse if going to a crematorium. Often there is a piper who will pipe the coffin to the grave. I must have been to dozens of highland funerals and I have never seen the coffin draped in tartan. Flags yes.

At the grave side, often names of friends and family are read out and they will step forward to take hold of the lowering ropes. All that wish to will throw a small handful of earth on top of the coffin as they depart. Cremations are not common ,getting more so, and are usually only attended by close family and special friends, after a church service that is attended by all that wish to be there.

If you google "Clan Macleod" you will find pictures of the late Chief John's funeral. That is as traditional as you will get.Hope this helps.