The girl felt like playing with us.= The girl would like to play with us.=The girl wanted to play with us.= The girl intended to play with us.
want to do sth.= would like to do sth.= feel like doing sth.= intend to do sth.
The girl felt like playing with us.= The girl would like to play with us.=The girl wanted to play with us.= The girl intended to play with us.
want to do sth.= would like to do sth.= feel like doing sth.= intend to do sth.