That is certainly hand drawn, Ken. Look at repeating characters, not only in
the logo, but in the various other places on the site that script is used. Those
repeating characters are always a bit, or much, different.

For example, there are lots of 'a's and 'e's in the various words and they all
vary. Look at the word Free on the "About Flavia" link and there's even a much
different 'F' than is used in the word Flavia.

As far as similar fonts go, realize that there's no way to actually match a
flowing, calligraphic, varying script like this, but give us a few minutes to think
up suggestions for fonts with a similar "feel" (if someone hasn't already done
so by the time I post this).

Ken,
As Mike said the 'Flavia' signature and some of the site lettering looks like it was hand-drawn. Since there are fonts with alternate characters and endings, it's theoretically possible that a font was used, but I would expect it to be a custom one. The curly spirals would be pretty memorable if this were a commercial font, I think.

The lettering shown on that site for the wording of the greeting card, does look like a font (identical letters look identical), but I didn't try to ID it as it wrote on the screen.

There are a couple of places to look for similar fonts in the ScriptFont ID Guide, such as Part 10, Part 4, or Part 7. You might find the font used for the 'animated' cards that way.

The fonts that might be acceptably similar are few enough. Your requirement
of freeware/shareware limits the candidates greatly, Ken.

Here are a few possibilities:
Caffe Latte (freeware by Peter Stanton), HipnOtik (shareware by Randy Ford)
and Moonpie (shareware by Steven Lundeen).

Non-freeware candidates that come to mind include Frivolous, Gigi, Pablo and
Party, all available from MyFonts.

See Mike Yanega's site for an incredible showing of script fonts to get more ideas.

Blue Vinyl's Delorita BV might be the closest I've come across.

Thank you for all the suggestions and comments.

I wasn't limiting myself to shareware/freeware fonts - just had hoped I could find something close in the shareware offering.
Would gladly purchase, if I knew this was available commercially. I have sent an inquiry to FLAVIA.com. If I come up with anything, I'll let you know. Let me know if anyone comes up anything close

Pepe Regular and Swash has a similar feel,
you can take a look at it
in fontfont.