I'm not going to lie, "angel face" is kind of a weird name for a drink. Some people say that it was garnished with two apple slices on the rim that looked like the wings of an angel, but then does that make the drink the face? Anyways, it's not like it matters much what it's called as long as it tastes good. The original recipe called for equal parts, but I think that makes it a bit unbalanced, you want the fruit notes of the apple brandy to shine through but not get totally blown away by the sweetness of the apricot liqueur.
Definitely use a high quality apple brandy in this drink. The original called for Calvados, but it can be somewhat hard to find in some areas. I like to use Clear Creek Apple Brandy, but there's a lot of other things out there. Laird's Applejack works well in the drink but makes it a little less refined, and the 100 proof (50% ABV) bottled in bond Applejack adds a bit of a punch to the drink.
Use a good apricot liqueur, there's several brands out there that are great including Rothman and Winter, Marie Brizard, and Giffard. Basically, don't use bottom shelf apricot brandy because it'll ruin the taste of your drink.