That said, I did find several Van Horn family members. The text offers simply the raw basics. It provides, in alpha order, the year, month, day and names of the couple.
It does not tell me who married them, if it was a civil service or in a church, or even what city or county in which the marriage occurred. The text also does not offer the parents of the couple or even the couple's ages at the time of marriage. It does give enough to proceed with a broad search on a site like Ancestry.com.
There I found Lydia listed in the Encyclopedia of American Quaker Genealogy Vol. II.
After Lydia's name, there is the phrase "dis mou." Dis means "disowned, disowned for;" and mou means "married out of unity." This means that one was not of the Quaker faith. The text (see the above image) implies Lydia was the Quaker and Jacob was not. The other reason I come to this conclusion is that the two were married in Bucks County (we'll get there in a moment) where a good number of the Vanhorn/Van Horn family attended the Dutch Reformed church.
Married in Bucks County. Ancestry.com also found another researcher with Jacob VanHorn in their family. Jacob, son of Gabriel and Martha Brelsford VanHorn, married Lydia Moode in Bucks County on 1 February 1776, according to this other researcher (who did not list any sources). This researcher also identifies Andrew and Hannah Headley Moode as Lydia's parents.
For more Quaker abbreviations, see "Glossary of Quaker Terms" as posted on Rootsweb.