This blender addon makes it possible to transfer the vertex order (face and edge too since 2.2 update), from mesh  A to mesh B, if both of them have the same topology (same vertex count, same polygon count).  With vert order copied you will be able to transfer mesh attributes like uv, weights, colors etc. by using Data Transfer modifier (and using'Topology' vertices matching).  For vert id transfer, if two meshes have same vertices position, you can use object mode 'ctrl+c' menu -> Transfer vert ID by vert proximity. Just select target object(s), then source mesh and use ctrl+c to transfer ids from source mesh to target mesh.