My current minister has a hyphenated name.  I'm not sure what her kids use.

I kept my own name when I married.  My kids have my surname as their third name, and go by their surname which is same as my husband's.

I've never seen a multi-hyphenated name tho. 

"hyphenated" is a weird word to spell - I did it wrong every time & had to go back & correct!

ditto to Carolla's firsdt post. I have always used my birth name. Kids have my surname as their 3 out of 4 names.

Our last name is a first name and everybody gets asked "What's your last name?"

There was a boy I went to school with whose last name was the same as his first name.

Married and had kids in the 1960s - I took my husband's name, and our children have that name too.  

If I were doing it now, I think I would keep my maiden name for work and legal (bank, passport, etc) but use his name socially.  Our kids would have my maiden name as their middle name (or 3rd out of 4) and his name as their last name. 

Another alternatve I've seen used once was for the couple to choose a last name for themselves at the time of their marriage.  Something they thought reflected who they were as a couple that had nothing to do with either single name.  Their kids, if they have any, will have this new name.   (Terrible for any descendants doing geneology.)

I've never heard of that scenario, seeler - interesting.  Not for me, but interesting.

I'm kind of traditional and would probably not have gone hyphenated if that were popular when I got married.  There is a small chance I would have kept my maiden name, but probably not.

Seeler, I know some who combined their names to make a new one.  Not quite the same as what you've suggested, but it ends up working out the same, one new last name that didn't exist in either family before.

A. Murphy marries R. Yao; now they are A. & R. Murphyao!

Chinese practice is that the wife keeps her family name but the children take the husband's family name. My wife chose to break with tradition and take my name, very foolishly thinking that people wouldn't screw it up as much . We didn't even consider hyphenation, though our names would hyphenate reasonably smoothly.

Mendalla