Synonyms for Engrossed (same or very similar meaning)
WordNet sense 1 (set down in writing in any of various ways):
writtenWordNet sense 2 (giving or marked by complete attention to):
absorbed, captive, intent, enwrapped, wrappedWordNet sense 3 ((often followed by `to') giving care or attention):
attentiveFrom the ODE community, based on WordNetadd/edit