I don't know the person's actual name. Their display name on Rootsweb is AWD7 but their data is a match for what i have. I believe however, that the "Hans Dixon b: ABT 1855" as you list below is actually the Hans Dixon b: 23 May 1855 and son of Hugh Dixon (Hans' & Elizabeth son). The Elizabeth Airdire was a misspelling of 'Airdrie' on one of the early Scotland census'. What I am missing is how Elizabeth Airdrie connects into my Airdrie family line. I believe her father - Adam - was the brother to my ggggrandfather David. I am basing this on their ages and birth place. In addition, the only other place I have found the name Letitia in my family tree was David's daughter. I thought this might be because of his sister-in-law Letitia McCrae.
Unfortunately, I have no verfication of this but so far my gut feelings (with a bit of logic thrown in) has been panning out pretty good. My adventure is now in Ireland for records for David, Adam and Thomas all of whom i believe were brothers but Ireland is not easy to research. This is why I was really hoping you might have had some info on the Airdrie's (also spelled Airdire, Ardrie, Airdrey, Airdire, Airdre, a couple of others) in Ireland. If you ever come acrosee any, i would love to hear from you on it!
So to answer your question, 'yes' it would appear in a round-about way, we are related. Fact is, if anyone has an Airdrie in their family line, we are related. After all, there aren't too many of us. If you want to see what i've got for names and such, here
http://airdriefleming.tribalpages.com/ is a link to my family tree. I haven't updated it in a while (too darned nice outside!). The majority of the Airdrie names are verified with copies of the records however, this site doesn't allow for uploading of such things.
Have a great day!
-Shanty