There are only a few Tygert/Tygart/etc. in the census in and around Albany County for first half of 1800s. One is:
1830 Census - Albany County - pg. 407
Alexander Tygert
Age under 5: 1 male
Age 5-10: 1 male and 1 female
Age 10-15: 1 female
Age 30-40: 1 male and 1 female
with Sarah (Tygert) Armstrong as the female age 10-15?