Hello,
It always helps to also post birth/marriage/death info if you have it along with where they lived etc???
That said I host a site for descendants of the 3 Fish Brothers of Sandwich Mass and most Fish in the US are descended from them so we may be able to help you. I did a search of our database and came up with 12 Martha Fish but none with the Alderman name but still we may be able to help. Where was your Martha from and BMD data would help a ton also.
If you'd like to check out our site we're the Fish Family of Sandwich Mass Society at
http://www.allaboutnhre.com/fishsandwich/If you use the search feature on the main page you will find the Martha's we have. If you sign up on the forums you can ask about her there and I'll bet one of our members can help you.
Good luck on your search
John R. Fisher of the Sandwich Fish