Sharing only one content type between 2 websites
If you are trying to share content between sites, you may want to look at the deploy module....


  The Deploy module is designed to allow users to easily stage content
  from one Drupal site to another. Deploy automatically manages
  dependencies between entities (like node references). It is designed
  to have a rich API which can be easily extended to be used in a
  variety of content staging situations.


To share a Content Type between sites, look into features:


  The features module enables the capture and management of features in
  Drupal. A feature is a collection of Drupal entities which taken
  together satisfy a certain use-case.
  
  Features provides a UI and API for taking different site building
  components from modules with exportables and bundling them together in
  a single feature module. A feature module is like any other Drupal
  module except that it declares its components (e.g. views, contexts,
  CCK fields, etc.) in its .info file so that it can be checked,
  updated, or reverted programmatically.


Alternatively if you're only trying to share a list of things, what about using RSS feeds from Website 1 and using the Feeds Module to pull it into Website 2?


  Import or aggregate data as nodes, users, taxonomy terms or simple database records.
  
  One-off imports and periodic aggregation of content Import or
  aggregate RSS/Atom feeds Import or aggregate CSV files Import or
  aggregate OPML files PubSubHubbub support Create nodes, users,
  taxonomy terms or simple database records from import Extensible to
  import any other kind of content Granular mapping of input elements to
  Drupal content elements Exportable configurations Batched import for
  large files


Also as mentioned in the comments the Migrate Module is worth a look.


  The migrate module provides a flexible framework for migrating content
  into Drupal from other sources (e.g., when converting a web site from
  another CMS to Drupal). Out-of-the-box, support for creating core
  Drupal objects such as nodes, users, files, terms, and comments are
  included - it can easily be extended for migrating other kinds of
  content. Content is imported and rolled back using a bundled web
  interface (Migrate UI module) or included Drush commands (strongly
  recommended).