If she is 14 weeks pregnant, then it's about 12 weeks since she actually conceived (give or take a week). Confusing I know, but that is how they count. Most women ovulate approxiamately 2 weeks after their period starts. So if you count backwards, that puts conception date around the 3rd, which is close. This is not an exact science. A few days off on dates or a non 28 day cycle would explain the week's difference. The only way to know for certain is going to be a DNA test because it is certainly possible you are the father.
Couple questions:
1 Did you have sex prior to 8/10 ?
2.When was her last period?
Ultrasounds can always be off, but also, DR's date preganancy starting with last period, not conception date so it does get confusing.