Perseus analyses of ἑλοῦσα:

αἱρέω (take with the hand, grasp, seize): aor part act fem nom/voc sg (attic epic doric ionic)
αἱρέω (take with the hand, grasp, seize): fut part act fem nom/voc sg (attic epic doric)

LSJ entry

αἱρέω

αἱρέω, impf. ᾕρεον Il. 24.579, Ion. αἵρεον Hdt. 6.31, but contr. ᾕρει even in Il. 17.463, ᾕρευν Hes. Sc. 302: fut. αἱρήσω Il. 9.28, etc.: aor. 1 ᾕρησα late (ἀν-) Q.S. 4.40, etc.: pf. ᾕρηκα A. Ag. 267, Th. 1.61, etc., Ion. ἀραίρηκα or αἵρηκα (ἀν-) Hdt. 5.102: plpf. ἀραιρήκεε 3.39:—Med., fut. αἱρήσομαι Il. 10.235, etc.: aor. 1 ᾑρησάμην Plb. 38.13.7 s. v.l., Gal. 19.53, etc.: pf. in med. sense ᾕρημαι Ar. Av. 1577, X. An. 5.6.12, D. 2.15, etc.: 3pl. plpf. ᾕρηντο Th. 1.62:—Pass., fut. αἱρεθήσομαι Hdt. 2.13, Pl. Mx. 234b; rarely ᾑρήσομαι Id. Prt. 338c: aor. ᾑρέθην and pf. ᾕρημαι D. 20.146, al.; pf. part. ἀραιρημένος Hdt. 4.66: plqf. ᾕρηντο X. An. 3.2.1, ἀραίρητο Hdt. 1.191 , etc.—From [root ]ἑλ-: fut. ἑλῶ only late (δι-) Test.Epict. 6.18, (ἀν-) D.H. 11.18, (καθ-) APl. 16.334 (Antiphil.): aor.1 εἷλα (ἀν-) Act.Ap. 2.23, (ἀν-) Epigr.Gr. 314.24 (Smyrna): elsewh.aor.2 εἷλον Il. 10.561, etc., Ep. ἕλον 17.321, Ion. ἕλεσκε 24.752:— Med., fut. ἑλοῦμαι D.H. 4.75, (ἀφ-) Timostr. 5, (δι-) D.H. 4.60, (ἐξ-) Alciphr. 1.9: aor. 1 εἱλάμην Epigr.Gr. 314.5 (Smyrna), (ἀφ-) v.l. in Ath. 12.546a, (δι-) AP 9.56 (Phil.): elsewh. aor. 2 εἱλόμην Il. 16.139, etc., 2sg. ἤλεο Sapph. Oxy. 1787.6.3 :—Cret. forms αἰλεθῇ Leg.Gort. 2.21, ἀν-αιλῆθαι ib.7.10, al.:—the etym. is doubtful, and ἀγρέω (q.v.) prob. has a difft. root.

2. take away, ἀπʼ ἀπήνης ᾕρεον ἄποινα Il. 24.579.

II. take, get into oneʼs power, νῆας ib.13.42; esp. take a city, 2.37, S. Ph. 347, etc.; overpower, kill, Il. 4.457, etc.; ἕλοιμί κεν ἤ κε ἁλοίην 22.253 :—freq. of passions, etc., come upon, seize, χόλος Il. 18.322; ἵμερος 3.446; ὕπνος 10.193; λήθη 2.34, etc.: c. dupl.acc., τὸν δʼ ἄτη φρένας εἷλε 16.805; of disease, Pl. Tht. 142b.

2. catch, take, ζωὸν ἑλεῖν Il. 21.102; take in hunting, Hes. Sc. 302, Hdt. 1.36, etc.; overtake, in a race, Il. 23.345; get into oneʼs power, entrap, S. OC 764, etc.; in good sense, win over, X. Mem. 2.3.16, cf. 3.11.11, Pl. Ly. 205e, etc.

b. c. part., catch, detect one doing a thing, S. Ant. 385,655; ἐπʼ αὐτοφώρῳ ἑλεῖν E. Ion 1214; φῶρα ἐπὶ κλοπῇ ἑλεῖν Pl. Lg. 874b.

b. generally, get, obtain, Pl. R. 359a, Ti. 64b, etc.

c. abs., get a conviction, οἱ ἑλόντες, opp. οἱ ἑαλωκότες, D. 21.11 ; δολίοις ἕλε Κύπρις λόγοις Aphrodite won her cause . . , E. Andr. 289, cf. Pl. Lg. 762b, etc.

d. of a thing or circumstances which convict, τοῦτʼ ἔστιν ὃ ἐμὲ αἱρεῖ Id. Ap. 28a.

5. ὁ λόγος αἱρέει reason or the reason of the thing proves, Hdt. 2.33: c. acc. pers., reason persuades one, i.e. it seems good to one, Id. 1.132, 7.41 ; ὡς ἐμὴ γνώμη αἱ. Hdt. 2.43; ὅπῃ ὁ λόγος αἱ. βέλτιστʼ ἂν ἔχειν Pl. R. 604c, cf. Lg. 663d: c. inf., R. 440b; ὁ αἱρῶν λόγος Chrysipp.Stoic. 3.92 ; αἱρεῖ alone, proves, Plu. 2.651b.

b. τὸ αἱροῦν the sum due, PRyl. 167.25 (i A. D.); τὰ αἱροῦντα [τάλαντα] PGrenf. 2.23.14 (ii B. C.), PRyl. 88.19 (ii A. D.).

III. grasp with the mind, understand, Pl. Phlb. 17e, 20d, Plt. 282d.

B. Med., with pf. ᾕρημαι (v. supr.), take for oneself, ἔγχος ἑλέσθαι take oneʼs spear, Il. 16.140, etc.; ἐκ γαίας λίθον A. Fr. 199 ; δόρπον, δεῖπνον take oneʼs supper, Il. 7.370, 2.399 ; πιέειν δʼ οὐκ εἶχεν ἑλέσθαι Od. 11.584 ; Τρωσὶν . . ὅρκον ἑλ. obtain it from . . , Il. 22.119; and so in most senses of the Act., with the reflexive force added.

II. take to oneself, choose, ἕταρον Il. 10.235, cf. 9.139, Od. 16.149, etc.; prefer, τι πρό τινος Hdt. 1.87; τι ἀντί τινος X. An. 1.7.3, D. 2.15; τί τινος S. Ph. 1101, cf. Theoc. 11.49.

c. αἱ. εἰ . . to be content if.., AP 12.68 (Mel.).

2. αἱ. τά τινων take anotherʼs part, join their party, Th. 3.63 , etc.; αἱ. γνώμην to adopt an opinion, Hdt. 4.137.

C. Pass., to be taken, Hdt. 1.185, 191, 9.102 ; more commonly ἁλίσκομαι.

2. v. supr. A. II.3.