Connie, if you had tried artificial respiration ( kiss of life ) on Tigger you would have probably ruptured her lungs, so you did the right thing. Tigger is there watching you now and probably thinking  of the love and care and affection that you have given each other over the years. do not beat yourself up over her passing. no one could have been a better mom to Tigger and she knew it. and while you cuddled her she felt able to let go and go on to the next cycle of life because she knew it was her time.
i know nothing can ease the ache in your heart right now, but know that we are all here for you if you need another shoulder to cry on.
i'm sorry that i am not good with words but they come from my heart.

many hugs sent to you.
andy