Lie, Lie or Lay?

Have you ever doubted whether you are using the correct form of these three verbs?
Just for the sake of reminding... here is the list of forms:

LAY 

(as in "lay an egg" or "lay the table)"

Present	Past	Past participle	Present participle
Lay	Laid	Laid	Laying

LIE

Present	Past	Past participle	Present participle
Lie	Lay	Lain	Lying

LIE

Present	Past	Past participle	Present participle
Lie	Lied	Lied	Lying

Here is a story that might shed some light on the subject...